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Finding the Fourth Proportional to 256,495.60, 384,743.40 and 162,017.20

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Solution

The fourth proportional to 256,495.60, 384,743.40 and 162,017.20 is: 243,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,495.60 : 384,743.40 = 162,017.20 : x
  2. Step 2: Convert to fraction form
    256,495.60/384,743.40 = 162,017.20/x
  3. Step 3: Cross multiply
    256,495.60x = 384,743.40 × 162,017.20
  4. Step 4: Simplify right side
    256,495.60x = 62,335,048,386.48
  5. Step 5: Solve for x
    x = 62,335,048,386.48/256,495.60
  6. Step 6: Final answer
    x = 243,025.80

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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.