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Finding the Fourth Proportional to 403,624.75, 557,002.29 and 233,957.29

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Solution

The fourth proportional to 403,624.75, 557,002.29 and 233,957.29 is: 322,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,624.75 : 557,002.29 = 233,957.29 : x
  2. Step 2: Convert to fraction form
    403,624.75/557,002.29 = 233,957.29/x
  3. Step 3: Cross multiply
    403,624.75x = 557,002.29 × 233,957.29
  4. Step 4: Simplify right side
    403,624.75x = 130,314,746,292.19
  5. Step 5: Solve for x
    x = 130,314,746,292.19/403,624.75
  6. Step 6: Final answer
    x = 322,861.14

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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.