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Finding the Fourth Proportional to 283,298.49, 424,848.69 and 83,565.84

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Solution

The fourth proportional to 283,298.49, 424,848.69 and 83,565.84 is: 125,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,298.49 : 424,848.69 = 83,565.84 : x
  2. Step 2: Convert to fraction form
    283,298.49/424,848.69 = 83,565.84/x
  3. Step 3: Cross multiply
    283,298.49x = 424,848.69 × 83,565.84
  4. Step 4: Simplify right side
    283,298.49x = 35,502,837,652.75
  5. Step 5: Solve for x
    x = 35,502,837,652.75/283,298.49
  6. Step 6: Final answer
    x = 125,319.54

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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.