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Finding the Fourth Proportional to 575,275.14, 862,724.89 and 190,920.75

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Solution

The fourth proportional to 575,275.14, 862,724.89 and 190,920.75 is: 286,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,275.14 : 862,724.89 = 190,920.75 : x
  2. Step 2: Convert to fraction form
    575,275.14/862,724.89 = 190,920.75/x
  3. Step 3: Cross multiply
    575,275.14x = 862,724.89 × 190,920.75
  4. Step 4: Simplify right side
    575,275.14x = 164,712,083,042.47
  5. Step 5: Solve for x
    x = 164,712,083,042.47/575,275.14
  6. Step 6: Final answer
    x = 286,318.79

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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.