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Finding the Fourth Proportional to 563,677.44, 777,874.68 and 309,023.16

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Solution

The fourth proportional to 563,677.44, 777,874.68 and 309,023.16 is: 426,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,677.44 : 777,874.68 = 309,023.16 : x
  2. Step 2: Convert to fraction form
    563,677.44/777,874.68 = 309,023.16/x
  3. Step 3: Cross multiply
    563,677.44x = 777,874.68 × 309,023.16
  4. Step 4: Simplify right side
    563,677.44x = 240,381,291,697.59
  5. Step 5: Solve for x
    x = 240,381,291,697.59/563,677.44
  6. Step 6: Final answer
    x = 426,451.86

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1.5x scale

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.