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Finding the Fourth Proportional to 305,443.80, 458,165.70 and 83,827.80

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Solution

The fourth proportional to 305,443.80, 458,165.70 and 83,827.80 is: 125,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,443.80 : 458,165.70 = 83,827.80 : x
  2. Step 2: Convert to fraction form
    305,443.80/458,165.70 = 83,827.80/x
  3. Step 3: Cross multiply
    305,443.80x = 458,165.70 × 83,827.80
  4. Step 4: Simplify right side
    305,443.80x = 38,407,022,666.46
  5. Step 5: Solve for x
    x = 38,407,022,666.46/305,443.80
  6. Step 6: Final answer
    x = 125,741.70

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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.