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Finding the Fourth Proportional to 262,904.60, 394,454.10 and 85,417.40

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Solution

The fourth proportional to 262,904.60, 394,454.10 and 85,417.40 is: 128,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,904.60 : 394,454.10 = 85,417.40 : x
  2. Step 2: Convert to fraction form
    262,904.60/394,454.10 = 85,417.40/x
  3. Step 3: Cross multiply
    262,904.60x = 394,454.10 × 85,417.40
  4. Step 4: Simplify right side
    262,904.60x = 33,693,243,641.34
  5. Step 5: Solve for x
    x = 33,693,243,641.34/262,904.60
  6. Step 6: Final answer
    x = 128,157.68

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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.