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Finding the Fourth Proportional to 416,152.49, 574,228.85 and 252,724.00

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Solution

The fourth proportional to 416,152.49, 574,228.85 and 252,724.00 is: 348,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,152.49 : 574,228.85 = 252,724.00 : x
  2. Step 2: Convert to fraction form
    416,152.49/574,228.85 = 252,724.00/x
  3. Step 3: Cross multiply
    416,152.49x = 574,228.85 × 252,724.00
  4. Step 4: Simplify right side
    416,152.49x = 145,121,411,083.64
  5. Step 5: Solve for x
    x = 145,121,411,083.64/416,152.49
  6. Step 6: Final answer
    x = 348,721.72

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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.