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Finding the Fourth Proportional to 542,033, 748,005.54 and 303,569

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Solution

The fourth proportional to 542,033, 748,005.54 and 303,569 is: 418,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,033 : 748,005.54 = 303,569 : x
  2. Step 2: Convert to fraction form
    542,033/748,005.54 = 303,569/x
  3. Step 3: Cross multiply
    542,033x = 748,005.54 × 303,569
  4. Step 4: Simplify right side
    542,033x = 227,071,293,772.26
  5. Step 5: Solve for x
    x = 227,071,293,772.26/542,033
  6. Step 6: Final answer
    x = 418,925.22

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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.