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Finding the Fourth Proportional to 472,859.60, 708,252.60 and 410,651.60

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Solution

The fourth proportional to 472,859.60, 708,252.60 and 410,651.60 is: 615,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,859.60 : 708,252.60 = 410,651.60 : x
  2. Step 2: Convert to fraction form
    472,859.60/708,252.60 = 410,651.60/x
  3. Step 3: Cross multiply
    472,859.60x = 708,252.60 × 410,651.60
  4. Step 4: Simplify right side
    472,859.60x = 290,845,063,394.16
  5. Step 5: Solve for x
    x = 290,845,063,394.16/472,859.60
  6. Step 6: Final answer
    x = 615,077.00

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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.