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Finding the Fourth Proportional to 567,813.14, 851,719.68 and 147,089

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Solution

The fourth proportional to 567,813.14, 851,719.68 and 147,089 is: 220,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,813.14 : 851,719.68 = 147,089 : x
  2. Step 2: Convert to fraction form
    567,813.14/851,719.68 = 147,089/x
  3. Step 3: Cross multiply
    567,813.14x = 851,719.68 × 147,089
  4. Step 4: Simplify right side
    567,813.14x = 125,278,596,011.52
  5. Step 5: Solve for x
    x = 125,278,596,011.52/567,813.14
  6. Step 6: Final answer
    x = 220,633.49

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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.