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Finding the Fourth Proportional to 522,534.95, 783,934.14 and 148,557.95

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Solution

The fourth proportional to 522,534.95, 783,934.14 and 148,557.95 is: 222,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,534.95 : 783,934.14 = 148,557.95 : x
  2. Step 2: Convert to fraction form
    522,534.95/783,934.14 = 148,557.95/x
  3. Step 3: Cross multiply
    522,534.95x = 783,934.14 × 148,557.95
  4. Step 4: Simplify right side
    522,534.95x = 116,459,644,853.74
  5. Step 5: Solve for x
    x = 116,459,644,853.74/522,534.95
  6. Step 6: Final answer
    x = 222,874.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.