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Finding the Fourth Proportional to 385,186.92, 577,852.74 and 174,839.64

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Solution

The fourth proportional to 385,186.92, 577,852.74 and 174,839.64 is: 262,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,186.92 : 577,852.74 = 174,839.64 : x
  2. Step 2: Convert to fraction form
    385,186.92/577,852.74 = 174,839.64/x
  3. Step 3: Cross multiply
    385,186.92x = 577,852.74 × 174,839.64
  4. Step 4: Simplify right side
    385,186.92x = 101,031,565,034.61
  5. Step 5: Solve for x
    x = 101,031,565,034.61/385,186.92
  6. Step 6: Final answer
    x = 262,292.30

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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.