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Finding the Fourth Proportional to 413,957.28, 623,702.13 and 374,022.66

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Solution

The fourth proportional to 413,957.28, 623,702.13 and 374,022.66 is: 563,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,957.28 : 623,702.13 = 374,022.66 : x
  2. Step 2: Convert to fraction form
    413,957.28/623,702.13 = 374,022.66/x
  3. Step 3: Cross multiply
    413,957.28x = 623,702.13 × 374,022.66
  4. Step 4: Simplify right side
    413,957.28x = 233,278,729,710.27
  5. Step 5: Solve for x
    x = 233,278,729,710.27/413,957.28
  6. Step 6: Final answer
    x = 563,533.34

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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.