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Finding the Fourth Proportional to 832,071, 1,147,893.18 and 487,732.34

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Solution

The fourth proportional to 832,071, 1,147,893.18 and 487,732.34 is: 672,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,071 : 1,147,893.18 = 487,732.34 : x
  2. Step 2: Convert to fraction form
    832,071/1,147,893.18 = 487,732.34/x
  3. Step 3: Cross multiply
    832,071x = 1,147,893.18 × 487,732.34
  4. Step 4: Simplify right side
    832,071x = 559,864,626,751.44
  5. Step 5: Solve for x
    x = 559,864,626,751.44/832,071
  6. Step 6: Final answer
    x = 672,856.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.