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Finding the Fourth Proportional to 256,343.56, 353,784.16 and 154,420.47

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Solution

The fourth proportional to 256,343.56, 353,784.16 and 154,420.47 is: 213,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,343.56 : 353,784.16 = 154,420.47 : x
  2. Step 2: Convert to fraction form
    256,343.56/353,784.16 = 154,420.47/x
  3. Step 3: Cross multiply
    256,343.56x = 353,784.16 × 154,420.47
  4. Step 4: Simplify right side
    256,343.56x = 54,631,516,265.76
  5. Step 5: Solve for x
    x = 54,631,516,265.76/256,343.56
  6. Step 6: Final answer
    x = 213,118.35

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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.