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Finding the Fourth Proportional to 461,362.59, 692,144.16 and 141,515.73

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Solution

The fourth proportional to 461,362.59, 692,144.16 and 141,515.73 is: 212,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,362.59 : 692,144.16 = 141,515.73 : x
  2. Step 2: Convert to fraction form
    461,362.59/692,144.16 = 141,515.73/x
  3. Step 3: Cross multiply
    461,362.59x = 692,144.16 × 141,515.73
  4. Step 4: Simplify right side
    461,362.59x = 97,949,286,067.64
  5. Step 5: Solve for x
    x = 97,949,286,067.64/461,362.59
  6. Step 6: Final answer
    x = 212,304.35

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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.