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Finding the Fourth Proportional to 257,306.74, 354,639.98 and 171,111.65

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Solution

The fourth proportional to 257,306.74, 354,639.98 and 171,111.65 is: 235,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,306.74 : 354,639.98 = 171,111.65 : x
  2. Step 2: Convert to fraction form
    257,306.74/354,639.98 = 171,111.65/x
  3. Step 3: Cross multiply
    257,306.74x = 354,639.98 × 171,111.65
  4. Step 4: Simplify right side
    257,306.74x = 60,683,032,133.77
  5. Step 5: Solve for x
    x = 60,683,032,133.77/257,306.74
  6. Step 6: Final answer
    x = 235,839.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.