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Finding the Fourth Proportional to 484,209, 726,430.14 and 151,785

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Solution

The fourth proportional to 484,209, 726,430.14 and 151,785 is: 227,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,209 : 726,430.14 = 151,785 : x
  2. Step 2: Convert to fraction form
    484,209/726,430.14 = 151,785/x
  3. Step 3: Cross multiply
    484,209x = 726,430.14 × 151,785
  4. Step 4: Simplify right side
    484,209x = 110,261,198,799.90
  5. Step 5: Solve for x
    x = 110,261,198,799.90/484,209
  6. Step 6: Final answer
    x = 227,714.06

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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.