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Finding the Fourth Proportional to 286,598.28, 429,961.80 and 97,047.74

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Solution

The fourth proportional to 286,598.28, 429,961.80 and 97,047.74 is: 145,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,598.28 : 429,961.80 = 97,047.74 : x
  2. Step 2: Convert to fraction form
    286,598.28/429,961.80 = 97,047.74/x
  3. Step 3: Cross multiply
    286,598.28x = 429,961.80 × 97,047.74
  4. Step 4: Simplify right side
    286,598.28x = 41,726,820,976.33
  5. Step 5: Solve for x
    x = 41,726,820,976.33/286,598.28
  6. Step 6: Final answer
    x = 145,593.41

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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.