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Finding the Fourth Proportional to 771,327.68, 1,156,874.88 and 210,406.40

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Solution

The fourth proportional to 771,327.68, 1,156,874.88 and 210,406.40 is: 315,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,327.68 : 1,156,874.88 = 210,406.40 : x
  2. Step 2: Convert to fraction form
    771,327.68/1,156,874.88 = 210,406.40/x
  3. Step 3: Cross multiply
    771,327.68x = 1,156,874.88 × 210,406.40
  4. Step 4: Simplify right side
    771,327.68x = 243,413,878,751.23
  5. Step 5: Solve for x
    x = 243,413,878,751.23/771,327.68
  6. Step 6: Final answer
    x = 315,577.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.