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Finding the Fourth Proportional to 459,484.34, 688,967.31 and 178,680.02

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Solution

The fourth proportional to 459,484.34, 688,967.31 and 178,680.02 is: 267,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,484.34 : 688,967.31 = 178,680.02 : x
  2. Step 2: Convert to fraction form
    459,484.34/688,967.31 = 178,680.02/x
  3. Step 3: Cross multiply
    459,484.34x = 688,967.31 × 178,680.02
  4. Step 4: Simplify right side
    459,484.34x = 123,104,692,730.15
  5. Step 5: Solve for x
    x = 123,104,692,730.15/459,484.34
  6. Step 6: Final answer
    x = 267,919.23

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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.