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Finding the Fourth Proportional to 586,954.73, 878,470.32 and 334,167.36

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Solution

The fourth proportional to 586,954.73, 878,470.32 and 334,167.36 is: 500,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,954.73 : 878,470.32 = 334,167.36 : x
  2. Step 2: Convert to fraction form
    586,954.73/878,470.32 = 334,167.36/x
  3. Step 3: Cross multiply
    586,954.73x = 878,470.32 × 334,167.36
  4. Step 4: Simplify right side
    586,954.73x = 293,556,110,573.02
  5. Step 5: Solve for x
    x = 293,556,110,573.02/586,954.73
  6. Step 6: Final answer
    x = 500,134.16

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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.