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Finding the Fourth Proportional to 283,425.76, 424,139.74 and 176,859.91

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Solution

The fourth proportional to 283,425.76, 424,139.74 and 176,859.91 is: 264,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,425.76 : 424,139.74 = 176,859.91 : x
  2. Step 2: Convert to fraction form
    283,425.76/424,139.74 = 176,859.91/x
  3. Step 3: Cross multiply
    283,425.76x = 424,139.74 × 176,859.91
  4. Step 4: Simplify right side
    283,425.76x = 75,013,316,243.82
  5. Step 5: Solve for x
    x = 75,013,316,243.82/283,425.76
  6. Step 6: Final answer
    x = 264,666.54

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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.