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Finding the Fourth Proportional to 283,065.26, 424,597.92 and 72,703.40

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Solution

The fourth proportional to 283,065.26, 424,597.92 and 72,703.40 is: 109,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,065.26 : 424,597.92 = 72,703.40 : x
  2. Step 2: Convert to fraction form
    283,065.26/424,597.92 = 72,703.40/x
  3. Step 3: Cross multiply
    283,065.26x = 424,597.92 × 72,703.40
  4. Step 4: Simplify right side
    283,065.26x = 30,869,712,416.93
  5. Step 5: Solve for x
    x = 30,869,712,416.93/283,065.26
  6. Step 6: Final answer
    x = 109,055.11

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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.