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Finding the Fourth Proportional to 282,506.90, 423,760.34 and 105,058.58

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Solution

The fourth proportional to 282,506.90, 423,760.34 and 105,058.58 is: 157,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,506.90 : 423,760.34 = 105,058.58 : x
  2. Step 2: Convert to fraction form
    282,506.90/423,760.34 = 105,058.58/x
  3. Step 3: Cross multiply
    282,506.90x = 423,760.34 × 105,058.58
  4. Step 4: Simplify right side
    282,506.90x = 44,519,659,580.72
  5. Step 5: Solve for x
    x = 44,519,659,580.72/282,506.90
  6. Step 6: Final answer
    x = 157,587.87

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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.