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Finding the Fourth Proportional to 257,409.60, 386,114.40 and 91,214.40

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Solution

The fourth proportional to 257,409.60, 386,114.40 and 91,214.40 is: 136,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,409.60 : 386,114.40 = 91,214.40 : x
  2. Step 2: Convert to fraction form
    257,409.60/386,114.40 = 91,214.40/x
  3. Step 3: Cross multiply
    257,409.60x = 386,114.40 × 91,214.40
  4. Step 4: Simplify right side
    257,409.60x = 35,219,193,327.36
  5. Step 5: Solve for x
    x = 35,219,193,327.36/257,409.60
  6. Step 6: Final answer
    x = 136,821.60

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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.