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Finding the Fourth Proportional to 459,009.40, 688,514.10 and 178,344.40

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Solution

The fourth proportional to 459,009.40, 688,514.10 and 178,344.40 is: 267,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,009.40 : 688,514.10 = 178,344.40 : x
  2. Step 2: Convert to fraction form
    459,009.40/688,514.10 = 178,344.40/x
  3. Step 3: Cross multiply
    459,009.40x = 688,514.10 × 178,344.40
  4. Step 4: Simplify right side
    459,009.40x = 122,792,634,056.04
  5. Step 5: Solve for x
    x = 122,792,634,056.04/459,009.40
  6. Step 6: Final answer
    x = 267,516.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.