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Finding the Fourth Proportional to 357,754.80, 493,700.01 and 204,792.15

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Solution

The fourth proportional to 357,754.80, 493,700.01 and 204,792.15 is: 282,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,754.80 : 493,700.01 = 204,792.15 : x
  2. Step 2: Convert to fraction form
    357,754.80/493,700.01 = 204,792.15/x
  3. Step 3: Cross multiply
    357,754.80x = 493,700.01 × 204,792.15
  4. Step 4: Simplify right side
    357,754.80x = 101,105,886,502.92
  5. Step 5: Solve for x
    x = 101,105,886,502.92/357,754.80
  6. Step 6: Final answer
    x = 282,612.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.