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Finding the Fourth Proportional to 969,332, 1,454,130.48 and 338,151.20

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Solution

The fourth proportional to 969,332, 1,454,130.48 and 338,151.20 is: 507,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,332 : 1,454,130.48 = 338,151.20 : x
  2. Step 2: Convert to fraction form
    969,332/1,454,130.48 = 338,151.20/x
  3. Step 3: Cross multiply
    969,332x = 1,454,130.48 × 338,151.20
  4. Step 4: Simplify right side
    969,332x = 491,715,966,768.58
  5. Step 5: Solve for x
    x = 491,715,966,768.58/969,332
  6. Step 6: Final answer
    x = 507,273.02

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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.