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Finding the Fourth Proportional to 256,406.32, 384,605.28 and 98,668.96

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Solution

The fourth proportional to 256,406.32, 384,605.28 and 98,668.96 is: 148,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406.32 : 384,605.28 = 98,668.96 : x
  2. Step 2: Convert to fraction form
    256,406.32/384,605.28 = 98,668.96/x
  3. Step 3: Cross multiply
    256,406.32x = 384,605.28 × 98,668.96
  4. Step 4: Simplify right side
    256,406.32x = 37,948,602,988.11
  5. Step 5: Solve for x
    x = 37,948,602,988.11/256,406.32
  6. Step 6: Final answer
    x = 148,001.82

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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.