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Finding the Fourth Proportional to 522,043.60, 784,231.80 and 502,214.80

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Solution

The fourth proportional to 522,043.60, 784,231.80 and 502,214.80 is: 754,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,043.60 : 784,231.80 = 502,214.80 : x
  2. Step 2: Convert to fraction form
    522,043.60/784,231.80 = 502,214.80/x
  3. Step 3: Cross multiply
    522,043.60x = 784,231.80 × 502,214.80
  4. Step 4: Simplify right side
    522,043.60x = 393,852,816,590.64
  5. Step 5: Solve for x
    x = 393,852,816,590.64/522,043.60
  6. Step 6: Final answer
    x = 754,444.30

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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.