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Finding the Fourth Proportional to 417,347.34, 575,311.38 and 326,545.62

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Solution

The fourth proportional to 417,347.34, 575,311.38 and 326,545.62 is: 450,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,347.34 : 575,311.38 = 326,545.62 : x
  2. Step 2: Convert to fraction form
    417,347.34/575,311.38 = 326,545.62/x
  3. Step 3: Cross multiply
    417,347.34x = 575,311.38 × 326,545.62
  4. Step 4: Simplify right side
    417,347.34x = 187,865,411,275.16
  5. Step 5: Solve for x
    x = 187,865,411,275.16/417,347.34
  6. Step 6: Final answer
    x = 450,141.63

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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.