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Finding the Fourth Proportional to 340,147.29, 510,294.74 and 103,483.82

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Solution

The fourth proportional to 340,147.29, 510,294.74 and 103,483.82 is: 155,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,147.29 : 510,294.74 = 103,483.82 : x
  2. Step 2: Convert to fraction form
    340,147.29/510,294.74 = 103,483.82/x
  3. Step 3: Cross multiply
    340,147.29x = 510,294.74 × 103,483.82
  4. Step 4: Simplify right side
    340,147.29x = 52,807,246,469.63
  5. Step 5: Solve for x
    x = 52,807,246,469.63/340,147.29
  6. Step 6: Final answer
    x = 155,248.18

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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.