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Finding the Fourth Proportional to 708,338.24, 977,478.31 and 386,041.43

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Solution

The fourth proportional to 708,338.24, 977,478.31 and 386,041.43 is: 532,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,338.24 : 977,478.31 = 386,041.43 : x
  2. Step 2: Convert to fraction form
    708,338.24/977,478.31 = 386,041.43/x
  3. Step 3: Cross multiply
    708,338.24x = 977,478.31 × 386,041.43
  4. Step 4: Simplify right side
    708,338.24x = 377,347,124,586.38
  5. Step 5: Solve for x
    x = 377,347,124,586.38/708,338.24
  6. Step 6: Final answer
    x = 532,721.66

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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.