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Finding the Fourth Proportional to 256,417.40, 384,107.70 and 172,436.60

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Solution

The fourth proportional to 256,417.40, 384,107.70 and 172,436.60 is: 258,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,417.40 : 384,107.70 = 172,436.60 : x
  2. Step 2: Convert to fraction form
    256,417.40/384,107.70 = 172,436.60/x
  3. Step 3: Cross multiply
    256,417.40x = 384,107.70 × 172,436.60
  4. Step 4: Simplify right side
    256,417.40x = 66,234,225,821.82
  5. Step 5: Solve for x
    x = 66,234,225,821.82/256,417.40
  6. Step 6: Final answer
    x = 258,306.28

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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.