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Finding the Fourth Proportional to 473,090.20, 709,829.70 and 173,714.20

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Solution

The fourth proportional to 473,090.20, 709,829.70 and 173,714.20 is: 260,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,090.20 : 709,829.70 = 173,714.20 : x
  2. Step 2: Convert to fraction form
    473,090.20/709,829.70 = 173,714.20/x
  3. Step 3: Cross multiply
    473,090.20x = 709,829.70 × 173,714.20
  4. Step 4: Simplify right side
    473,090.20x = 123,307,498,471.74
  5. Step 5: Solve for x
    x = 123,307,498,471.74/473,090.20
  6. Step 6: Final answer
    x = 260,642.68

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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.