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Finding the Fourth Proportional to 283,307.46, 424,862.16 and 83,574.84

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Solution

The fourth proportional to 283,307.46, 424,862.16 and 83,574.84 is: 125,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,307.46 : 424,862.16 = 83,574.84 : x
  2. Step 2: Convert to fraction form
    283,307.46/424,862.16 = 83,574.84/x
  3. Step 3: Cross multiply
    283,307.46x = 424,862.16 × 83,574.84
  4. Step 4: Simplify right side
    283,307.46x = 35,507,787,044.05
  5. Step 5: Solve for x
    x = 35,507,787,044.05/283,307.46
  6. Step 6: Final answer
    x = 125,333.05

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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.