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Finding the Fourth Proportional to 385,344.40, 577,987.80 and 160,646.80

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Solution

The fourth proportional to 385,344.40, 577,987.80 and 160,646.80 is: 240,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,344.40 : 577,987.80 = 160,646.80 : x
  2. Step 2: Convert to fraction form
    385,344.40/577,987.80 = 160,646.80/x
  3. Step 3: Cross multiply
    385,344.40x = 577,987.80 × 160,646.80
  4. Step 4: Simplify right side
    385,344.40x = 92,851,890,509.04
  5. Step 5: Solve for x
    x = 92,851,890,509.04/385,344.40
  6. Step 6: Final answer
    x = 240,958.19

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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.