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Finding the Fourth Proportional to 469,502.92, 704,305.14 and 149,579.32

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Solution

The fourth proportional to 469,502.92, 704,305.14 and 149,579.32 is: 224,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,502.92 : 704,305.14 = 149,579.32 : x
  2. Step 2: Convert to fraction form
    469,502.92/704,305.14 = 149,579.32/x
  3. Step 3: Cross multiply
    469,502.92x = 704,305.14 × 149,579.32
  4. Step 4: Simplify right side
    469,502.92x = 105,349,483,913.71
  5. Step 5: Solve for x
    x = 105,349,483,913.71/469,502.92
  6. Step 6: Final answer
    x = 224,385.15

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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.