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Finding the Fourth Proportional to 307,812.60, 461,718.90 and 86,196.60

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Solution

The fourth proportional to 307,812.60, 461,718.90 and 86,196.60 is: 129,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,812.60 : 461,718.90 = 86,196.60 : x
  2. Step 2: Convert to fraction form
    307,812.60/461,718.90 = 86,196.60/x
  3. Step 3: Cross multiply
    307,812.60x = 461,718.90 × 86,196.60
  4. Step 4: Simplify right side
    307,812.60x = 39,798,599,335.74
  5. Step 5: Solve for x
    x = 39,798,599,335.74/307,812.60
  6. Step 6: Final answer
    x = 129,294.90

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1.5x scale

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.