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Finding the Fourth Proportional to 354,094.07, 531,306.92 and 176,614.76

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Solution

The fourth proportional to 354,094.07, 531,306.92 and 176,614.76 is: 265,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,094.07 : 531,306.92 = 176,614.76 : x
  2. Step 2: Convert to fraction form
    354,094.07/531,306.92 = 176,614.76/x
  3. Step 3: Cross multiply
    354,094.07x = 531,306.92 × 176,614.76
  4. Step 4: Simplify right side
    354,094.07x = 93,836,645,931.94
  5. Step 5: Solve for x
    x = 93,836,645,931.94/354,094.07
  6. Step 6: Final answer
    x = 265,004.85

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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.