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Finding the Fourth Proportional to 287,423.67, 431,102.70 and 77,045.21

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Solution

The fourth proportional to 287,423.67, 431,102.70 and 77,045.21 is: 115,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,423.67 : 431,102.70 = 77,045.21 : x
  2. Step 2: Convert to fraction form
    287,423.67/431,102.70 = 77,045.21/x
  3. Step 3: Cross multiply
    287,423.67x = 431,102.70 × 77,045.21
  4. Step 4: Simplify right side
    287,423.67x = 33,214,398,053.07
  5. Step 5: Solve for x
    x = 33,214,398,053.07/287,423.67
  6. Step 6: Final answer
    x = 115,559.02

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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.