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Finding the Fourth Proportional to 784,978.10, 1,177,467.15 and 706,246.10

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Solution

The fourth proportional to 784,978.10, 1,177,467.15 and 706,246.10 is: 1,059,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,978.10 : 1,177,467.15 = 706,246.10 : x
  2. Step 2: Convert to fraction form
    784,978.10/1,177,467.15 = 706,246.10/x
  3. Step 3: Cross multiply
    784,978.10x = 1,177,467.15 × 706,246.10
  4. Step 4: Simplify right side
    784,978.10x = 831,581,582,565.62
  5. Step 5: Solve for x
    x = 831,581,582,565.62/784,978.10
  6. Step 6: Final answer
    x = 1,059,369.15

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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.