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Finding the Fourth Proportional to 286,563.59, 429,819.02 and 97,002.29

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Solution

The fourth proportional to 286,563.59, 429,819.02 and 97,002.29 is: 145,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,563.59 : 429,819.02 = 97,002.29 : x
  2. Step 2: Convert to fraction form
    286,563.59/429,819.02 = 97,002.29/x
  3. Step 3: Cross multiply
    286,563.59x = 429,819.02 × 97,002.29
  4. Step 4: Simplify right side
    286,563.59x = 41,693,429,225.56
  5. Step 5: Solve for x
    x = 41,693,429,225.56/286,563.59
  6. Step 6: Final answer
    x = 145,494.51

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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.