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Finding the Fourth Proportional to 487,141.60, 729,934.80 and 407,826.40

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Solution

The fourth proportional to 487,141.60, 729,934.80 and 407,826.40 is: 611,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,141.60 : 729,934.80 = 407,826.40 : x
  2. Step 2: Convert to fraction form
    487,141.60/729,934.80 = 407,826.40/x
  3. Step 3: Cross multiply
    487,141.60x = 729,934.80 × 407,826.40
  4. Step 4: Simplify right side
    487,141.60x = 297,686,681,718.72
  5. Step 5: Solve for x
    x = 297,686,681,718.72/487,141.60
  6. Step 6: Final answer
    x = 611,088.61

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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.