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Finding the Fourth Proportional to 256,823.70, 385,235.55 and 172,842.90

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Solution

The fourth proportional to 256,823.70, 385,235.55 and 172,842.90 is: 259,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,823.70 : 385,235.55 = 172,842.90 : x
  2. Step 2: Convert to fraction form
    256,823.70/385,235.55 = 172,842.90/x
  3. Step 3: Cross multiply
    256,823.70x = 385,235.55 × 172,842.90
  4. Step 4: Simplify right side
    256,823.70x = 66,585,229,645.10
  5. Step 5: Solve for x
    x = 66,585,229,645.10/256,823.70
  6. Step 6: Final answer
    x = 259,264.35

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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.