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Finding the Fourth Proportional to 522,248.64, 783,594.48 and 285,314.54

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Solution

The fourth proportional to 522,248.64, 783,594.48 and 285,314.54 is: 428,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,248.64 : 783,594.48 = 285,314.54 : x
  2. Step 2: Convert to fraction form
    522,248.64/783,594.48 = 285,314.54/x
  3. Step 3: Cross multiply
    522,248.64x = 783,594.48 × 285,314.54
  4. Step 4: Simplify right side
    522,248.64x = 223,570,894,689.77
  5. Step 5: Solve for x
    x = 223,570,894,689.77/522,248.64
  6. Step 6: Final answer
    x = 428,092.82

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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.