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Finding the Fourth Proportional to 385,639.80, 577,293.30 and 343,649.40

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Solution

The fourth proportional to 385,639.80, 577,293.30 and 343,649.40 is: 514,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,639.80 : 577,293.30 = 343,649.40 : x
  2. Step 2: Convert to fraction form
    385,639.80/577,293.30 = 343,649.40/x
  3. Step 3: Cross multiply
    385,639.80x = 577,293.30 × 343,649.40
  4. Step 4: Simplify right side
    385,639.80x = 198,386,496,169.02
  5. Step 5: Solve for x
    x = 198,386,496,169.02/385,639.80
  6. Step 6: Final answer
    x = 514,434.70

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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.