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Finding the Fourth Proportional to 459,778.96, 689,755.92 and 144,151.12

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Solution

The fourth proportional to 459,778.96, 689,755.92 and 144,151.12 is: 216,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,778.96 : 689,755.92 = 144,151.12 : x
  2. Step 2: Convert to fraction form
    459,778.96/689,755.92 = 144,151.12/x
  3. Step 3: Cross multiply
    459,778.96x = 689,755.92 × 144,151.12
  4. Step 4: Simplify right side
    459,778.96x = 99,429,088,394.63
  5. Step 5: Solve for x
    x = 99,429,088,394.63/459,778.96
  6. Step 6: Final answer
    x = 216,254.11

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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.