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Finding the Fourth Proportional to 340,146.86, 510,294.09 and 103,483.38

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Solution

The fourth proportional to 340,146.86, 510,294.09 and 103,483.38 is: 155,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,146.86 : 510,294.09 = 103,483.38 : x
  2. Step 2: Convert to fraction form
    340,146.86/510,294.09 = 103,483.38/x
  3. Step 3: Cross multiply
    340,146.86x = 510,294.09 × 103,483.38
  4. Step 4: Simplify right side
    340,146.86x = 52,806,959,334.86
  5. Step 5: Solve for x
    x = 52,806,959,334.86/340,146.86
  6. Step 6: Final answer
    x = 155,247.53

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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.