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Finding the Fourth Proportional to 723,098.36, 997,901.70 and 436,562.84

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Solution

The fourth proportional to 723,098.36, 997,901.70 and 436,562.84 is: 602,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,098.36 : 997,901.70 = 436,562.84 : x
  2. Step 2: Convert to fraction form
    723,098.36/997,901.70 = 436,562.84/x
  3. Step 3: Cross multiply
    723,098.36x = 997,901.70 × 436,562.84
  4. Step 4: Simplify right side
    723,098.36x = 435,646,800,192.83
  5. Step 5: Solve for x
    x = 435,646,800,192.83/723,098.36
  6. Step 6: Final answer
    x = 602,472.39

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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.