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Finding the Fourth Proportional to 650,810.71, 975,842.31 and 346,830.61

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Solution

The fourth proportional to 650,810.71, 975,842.31 and 346,830.61 is: 520,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,810.71 : 975,842.31 = 346,830.61 : x
  2. Step 2: Convert to fraction form
    650,810.71/975,842.31 = 346,830.61/x
  3. Step 3: Cross multiply
    650,810.71x = 975,842.31 × 346,830.61
  4. Step 4: Simplify right side
    650,810.71x = 338,451,983,641.11
  5. Step 5: Solve for x
    x = 338,451,983,641.11/650,810.71
  6. Step 6: Final answer
    x = 520,046.73

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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.