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Finding the Fourth Proportional to 597,113.80, 824,092.38 and 342,459.52

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Solution

The fourth proportional to 597,113.80, 824,092.38 and 342,459.52 is: 472,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,113.80 : 824,092.38 = 342,459.52 : x
  2. Step 2: Convert to fraction form
    597,113.80/824,092.38 = 342,459.52/x
  3. Step 3: Cross multiply
    597,113.80x = 824,092.38 × 342,459.52
  4. Step 4: Simplify right side
    597,113.80x = 282,218,280,890.46
  5. Step 5: Solve for x
    x = 282,218,280,890.46/597,113.80
  6. Step 6: Final answer
    x = 472,637.34

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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.