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Finding the Fourth Proportional to 459,002.30, 688,503.45 and 192,674.30

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Solution

The fourth proportional to 459,002.30, 688,503.45 and 192,674.30 is: 289,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,002.30 : 688,503.45 = 192,674.30 : x
  2. Step 2: Convert to fraction form
    459,002.30/688,503.45 = 192,674.30/x
  3. Step 3: Cross multiply
    459,002.30x = 688,503.45 × 192,674.30
  4. Step 4: Simplify right side
    459,002.30x = 132,656,920,276.34
  5. Step 5: Solve for x
    x = 132,656,920,276.34/459,002.30
  6. Step 6: Final answer
    x = 289,011.45

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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.