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Finding the Fourth Proportional to 602,345.20, 831,262.44 and 360,581

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Solution

The fourth proportional to 602,345.20, 831,262.44 and 360,581 is: 497,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,345.20 : 831,262.44 = 360,581 : x
  2. Step 2: Convert to fraction form
    602,345.20/831,262.44 = 360,581/x
  3. Step 3: Cross multiply
    602,345.20x = 831,262.44 × 360,581
  4. Step 4: Simplify right side
    602,345.20x = 299,737,441,877.64
  5. Step 5: Solve for x
    x = 299,737,441,877.64/602,345.20
  6. Step 6: Final answer
    x = 497,617.38

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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.