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Finding the Fourth Proportional to 586,205.60, 879,826.80 and 502,224.80

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Solution

The fourth proportional to 586,205.60, 879,826.80 and 502,224.80 is: 753,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,205.60 : 879,826.80 = 502,224.80 : x
  2. Step 2: Convert to fraction form
    586,205.60/879,826.80 = 502,224.80/x
  3. Step 3: Cross multiply
    586,205.60x = 879,826.80 × 502,224.80
  4. Step 4: Simplify right side
    586,205.60x = 441,870,838,664.64
  5. Step 5: Solve for x
    x = 441,870,838,664.64/586,205.60
  6. Step 6: Final answer
    x = 753,781.33

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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.