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Finding the Fourth Proportional to 256,225.10, 384,337.65 and 162,913.10

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Solution

The fourth proportional to 256,225.10, 384,337.65 and 162,913.10 is: 244,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,225.10 : 384,337.65 = 162,913.10 : x
  2. Step 2: Convert to fraction form
    256,225.10/384,337.65 = 162,913.10/x
  3. Step 3: Cross multiply
    256,225.10x = 384,337.65 × 162,913.10
  4. Step 4: Simplify right side
    256,225.10x = 62,613,638,008.22
  5. Step 5: Solve for x
    x = 62,613,638,008.22/256,225.10
  6. Step 6: Final answer
    x = 244,369.65

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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.