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Finding the Fourth Proportional to 771,170.66, 1,064,214.65 and 431,638.91

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Solution

The fourth proportional to 771,170.66, 1,064,214.65 and 431,638.91 is: 595,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,170.66 : 1,064,214.65 = 431,638.91 : x
  2. Step 2: Convert to fraction form
    771,170.66/1,064,214.65 = 431,638.91/x
  3. Step 3: Cross multiply
    771,170.66x = 1,064,214.65 × 431,638.91
  4. Step 4: Simplify right side
    771,170.66x = 459,356,451,280.86
  5. Step 5: Solve for x
    x = 459,356,451,280.86/771,170.66
  6. Step 6: Final answer
    x = 595,661.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.