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Finding the Fourth Proportional to 586,955.24, 878,471.07 and 334,167.86

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Solution

The fourth proportional to 586,955.24, 878,471.07 and 334,167.86 is: 500,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,955.24 : 878,471.07 = 334,167.86 : x
  2. Step 2: Convert to fraction form
    586,955.24/878,471.07 = 334,167.86/x
  3. Step 3: Cross multiply
    586,955.24x = 878,471.07 × 334,167.86
  4. Step 4: Simplify right side
    586,955.24x = 293,556,797,533.81
  5. Step 5: Solve for x
    x = 293,556,797,533.81/586,955.24
  6. Step 6: Final answer
    x = 500,134.90

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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.