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Finding the Fourth Proportional to 286,597.27, 429,960.30 and 97,046.74

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Solution

The fourth proportional to 286,597.27, 429,960.30 and 97,046.74 is: 145,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,597.27 : 429,960.30 = 97,046.74 : x
  2. Step 2: Convert to fraction form
    286,597.27/429,960.30 = 97,046.74/x
  3. Step 3: Cross multiply
    286,597.27x = 429,960.30 × 97,046.74
  4. Step 4: Simplify right side
    286,597.27x = 41,726,245,444.42
  5. Step 5: Solve for x
    x = 41,726,245,444.42/286,597.27
  6. Step 6: Final answer
    x = 145,591.92

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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.