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Finding the Fourth Proportional to 624,368.31, 861,043.54 and 414,444.96

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Solution

The fourth proportional to 624,368.31, 861,043.54 and 414,444.96 is: 571,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,368.31 : 861,043.54 = 414,444.96 : x
  2. Step 2: Convert to fraction form
    624,368.31/861,043.54 = 414,444.96/x
  3. Step 3: Cross multiply
    624,368.31x = 861,043.54 × 414,444.96
  4. Step 4: Simplify right side
    624,368.31x = 356,855,155,493.56
  5. Step 5: Solve for x
    x = 356,855,155,493.56/624,368.31
  6. Step 6: Final answer
    x = 571,545.91

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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.