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Finding the Fourth Proportional to 418,262.16, 627,395.34 and 102,719.16

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Solution

The fourth proportional to 418,262.16, 627,395.34 and 102,719.16 is: 154,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,262.16 : 627,395.34 = 102,719.16 : x
  2. Step 2: Convert to fraction form
    418,262.16/627,395.34 = 102,719.16/x
  3. Step 3: Cross multiply
    418,262.16x = 627,395.34 × 102,719.16
  4. Step 4: Simplify right side
    418,262.16x = 64,445,522,312.71
  5. Step 5: Solve for x
    x = 64,445,522,312.71/418,262.16
  6. Step 6: Final answer
    x = 154,079.26

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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.