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Finding the Fourth Proportional to 522,590.70, 784,017.66 and 148,613.70

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Solution

The fourth proportional to 522,590.70, 784,017.66 and 148,613.70 is: 222,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,590.70 : 784,017.66 = 148,613.70 : x
  2. Step 2: Convert to fraction form
    522,590.70/784,017.66 = 148,613.70/x
  3. Step 3: Cross multiply
    522,590.70x = 784,017.66 × 148,613.70
  4. Step 4: Simplify right side
    522,590.70x = 116,515,765,317.94
  5. Step 5: Solve for x
    x = 116,515,765,317.94/522,590.70
  6. Step 6: Final answer
    x = 222,957.98

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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.