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Finding the Fourth Proportional to 385,417.80, 577,781.10 and 343,427.40

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Solution

The fourth proportional to 385,417.80, 577,781.10 and 343,427.40 is: 514,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,417.80 : 577,781.10 = 343,427.40 : x
  2. Step 2: Convert to fraction form
    385,417.80/577,781.10 = 343,427.40/x
  3. Step 3: Cross multiply
    385,417.80x = 577,781.10 × 343,427.40
  4. Step 4: Simplify right side
    385,417.80x = 198,425,860,942.14
  5. Step 5: Solve for x
    x = 198,425,860,942.14/385,417.80
  6. Step 6: Final answer
    x = 514,833.15

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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.