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Finding the Fourth Proportional to 475,548.88, 713,416.56 and 176,031.76

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Solution

The fourth proportional to 475,548.88, 713,416.56 and 176,031.76 is: 264,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,548.88 : 713,416.56 = 176,031.76 : x
  2. Step 2: Convert to fraction form
    475,548.88/713,416.56 = 176,031.76/x
  3. Step 3: Cross multiply
    475,548.88x = 713,416.56 × 176,031.76
  4. Step 4: Simplify right side
    475,548.88x = 125,583,972,669.95
  5. Step 5: Solve for x
    x = 125,583,972,669.95/475,548.88
  6. Step 6: Final answer
    x = 264,082.15

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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.