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Finding the Fourth Proportional to 283,289.40, 424,934.10 and 83,616.30

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Solution

The fourth proportional to 283,289.40, 424,934.10 and 83,616.30 is: 125,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,289.40 : 424,934.10 = 83,616.30 : x
  2. Step 2: Convert to fraction form
    283,289.40/424,934.10 = 83,616.30/x
  3. Step 3: Cross multiply
    283,289.40x = 424,934.10 × 83,616.30
  4. Step 4: Simplify right side
    283,289.40x = 35,531,417,185.83
  5. Step 5: Solve for x
    x = 35,531,417,185.83/283,289.40
  6. Step 6: Final answer
    x = 125,424.45

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1.5x scale

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.