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Finding the Fourth Proportional to 256,423.40, 384,116.70 and 172,442.60

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Solution

The fourth proportional to 256,423.40, 384,116.70 and 172,442.60 is: 258,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,423.40 : 384,116.70 = 172,442.60 : x
  2. Step 2: Convert to fraction form
    256,423.40/384,116.70 = 172,442.60/x
  3. Step 3: Cross multiply
    256,423.40x = 384,116.70 × 172,442.60
  4. Step 4: Simplify right side
    256,423.40x = 66,238,082,451.42
  5. Step 5: Solve for x
    x = 66,238,082,451.42/256,423.40
  6. Step 6: Final answer
    x = 258,315.28

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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.