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Finding the Fourth Proportional to 413,957.78, 623,702.88 and 374,023.16

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Solution

The fourth proportional to 413,957.78, 623,702.88 and 374,023.16 is: 563,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,957.78 : 623,702.88 = 374,023.16 : x
  2. Step 2: Convert to fraction form
    413,957.78/623,702.88 = 374,023.16/x
  3. Step 3: Cross multiply
    413,957.78x = 623,702.88 × 374,023.16
  4. Step 4: Simplify right side
    413,957.78x = 233,279,322,078.70
  5. Step 5: Solve for x
    x = 233,279,322,078.70/413,957.78
  6. Step 6: Final answer
    x = 563,534.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.