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Finding the Fourth Proportional to 286,722.80, 429,815.57 and 97,050.43

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Solution

The fourth proportional to 286,722.80, 429,815.57 and 97,050.43 is: 145,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,722.80 : 429,815.57 = 97,050.43 : x
  2. Step 2: Convert to fraction form
    286,722.80/429,815.57 = 97,050.43/x
  3. Step 3: Cross multiply
    286,722.80x = 429,815.57 × 97,050.43
  4. Step 4: Simplify right side
    286,722.80x = 41,713,785,057.28
  5. Step 5: Solve for x
    x = 41,713,785,057.28/286,722.80
  6. Step 6: Final answer
    x = 145,484.72

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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.