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Finding the Fourth Proportional to 341,902.40, 512,948.40 and 142,316.80

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Solution

The fourth proportional to 341,902.40, 512,948.40 and 142,316.80 is: 213,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,902.40 : 512,948.40 = 142,316.80 : x
  2. Step 2: Convert to fraction form
    341,902.40/512,948.40 = 142,316.80/x
  3. Step 3: Cross multiply
    341,902.40x = 512,948.40 × 142,316.80
  4. Step 4: Simplify right side
    341,902.40x = 73,001,174,853.12
  5. Step 5: Solve for x
    x = 73,001,174,853.12/341,902.40
  6. Step 6: Final answer
    x = 213,514.66

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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.