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Finding the Fourth Proportional to 937,489, 1,293,734.18 and 507,769

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Solution

The fourth proportional to 937,489, 1,293,734.18 and 507,769 is: 700,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,489 : 1,293,734.18 = 507,769 : x
  2. Step 2: Convert to fraction form
    937,489/1,293,734.18 = 507,769/x
  3. Step 3: Cross multiply
    937,489x = 1,293,734.18 × 507,769
  4. Step 4: Simplify right side
    937,489x = 656,918,110,844.42
  5. Step 5: Solve for x
    x = 656,918,110,844.42/937,489
  6. Step 6: Final answer
    x = 700,720.87

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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.