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Finding the Fourth Proportional to 283,441.52, 424,163.71 and 176,875.63

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Solution

The fourth proportional to 283,441.52, 424,163.71 and 176,875.63 is: 264,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,441.52 : 424,163.71 = 176,875.63 : x
  2. Step 2: Convert to fraction form
    283,441.52/424,163.71 = 176,875.63/x
  3. Step 3: Cross multiply
    283,441.52x = 424,163.71 × 176,875.63
  4. Step 4: Simplify right side
    283,441.52x = 75,024,221,926.79
  5. Step 5: Solve for x
    x = 75,024,221,926.79/283,441.52
  6. Step 6: Final answer
    x = 264,690.30

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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.