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Finding the Fourth Proportional to 974,538.70, 1,461,808.05 and 413,500.30

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Solution

The fourth proportional to 974,538.70, 1,461,808.05 and 413,500.30 is: 620,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,538.70 : 1,461,808.05 = 413,500.30 : x
  2. Step 2: Convert to fraction form
    974,538.70/1,461,808.05 = 413,500.30/x
  3. Step 3: Cross multiply
    974,538.70x = 1,461,808.05 × 413,500.30
  4. Step 4: Simplify right side
    974,538.70x = 604,458,067,217.42
  5. Step 5: Solve for x
    x = 604,458,067,217.42/974,538.70
  6. Step 6: Final answer
    x = 620,250.45

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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.