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Finding the Fourth Proportional to 385,608.30, 577,246.05 and 343,617.90

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Solution

The fourth proportional to 385,608.30, 577,246.05 and 343,617.90 is: 514,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,608.30 : 577,246.05 = 343,617.90 : x
  2. Step 2: Convert to fraction form
    385,608.30/577,246.05 = 343,617.90/x
  3. Step 3: Cross multiply
    385,608.30x = 577,246.05 × 343,617.90
  4. Step 4: Simplify right side
    385,608.30x = 198,352,075,484.30
  5. Step 5: Solve for x
    x = 198,352,075,484.30/385,608.30
  6. Step 6: Final answer
    x = 514,387.46

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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.