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Finding the Fourth Proportional to 978,082.90, 1,467,124.35 and 777,316.30

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Solution

The fourth proportional to 978,082.90, 1,467,124.35 and 777,316.30 is: 1,165,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,082.90 : 1,467,124.35 = 777,316.30 : x
  2. Step 2: Convert to fraction form
    978,082.90/1,467,124.35 = 777,316.30/x
  3. Step 3: Cross multiply
    978,082.90x = 1,467,124.35 × 777,316.30
  4. Step 4: Simplify right side
    978,082.90x = 1,140,419,671,381.91
  5. Step 5: Solve for x
    x = 1,140,419,671,381.91/978,082.90
  6. Step 6: Final answer
    x = 1,165,974.45

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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.