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Finding the Fourth Proportional to 385,255.40, 577,494.30 and 175,044.20

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Solution

The fourth proportional to 385,255.40, 577,494.30 and 175,044.20 is: 262,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,255.40 : 577,494.30 = 175,044.20 : x
  2. Step 2: Convert to fraction form
    385,255.40/577,494.30 = 175,044.20/x
  3. Step 3: Cross multiply
    385,255.40x = 577,494.30 × 175,044.20
  4. Step 4: Simplify right side
    385,255.40x = 101,087,027,748.06
  5. Step 5: Solve for x
    x = 101,087,027,748.06/385,255.40
  6. Step 6: Final answer
    x = 262,389.65

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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.