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Finding the Fourth Proportional to 461,029, 691,815.66 and 194,772.28

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Solution

The fourth proportional to 461,029, 691,815.66 and 194,772.28 is: 292,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,029 : 691,815.66 = 194,772.28 : x
  2. Step 2: Convert to fraction form
    461,029/691,815.66 = 194,772.28/x
  3. Step 3: Cross multiply
    461,029x = 691,815.66 × 194,772.28
  4. Step 4: Simplify right side
    461,029x = 134,746,513,437.91
  5. Step 5: Solve for x
    x = 134,746,513,437.91/461,029
  6. Step 6: Final answer
    x = 292,273.40

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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.