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Finding the Fourth Proportional to 385,052.40, 577,189.80 and 174,841.20

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Solution

The fourth proportional to 385,052.40, 577,189.80 and 174,841.20 is: 262,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,052.40 : 577,189.80 = 174,841.20 : x
  2. Step 2: Convert to fraction form
    385,052.40/577,189.80 = 174,841.20/x
  3. Step 3: Cross multiply
    385,052.40x = 577,189.80 × 174,841.20
  4. Step 4: Simplify right side
    385,052.40x = 100,916,557,259.76
  5. Step 5: Solve for x
    x = 100,916,557,259.76/385,052.40
  6. Step 6: Final answer
    x = 262,085.26

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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.