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Finding the Fourth Proportional to 460,851.60, 691,277.40 and 145,340.40

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Solution

The fourth proportional to 460,851.60, 691,277.40 and 145,340.40 is: 218,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,851.60 : 691,277.40 = 145,340.40 : x
  2. Step 2: Convert to fraction form
    460,851.60/691,277.40 = 145,340.40/x
  3. Step 3: Cross multiply
    460,851.60x = 691,277.40 × 145,340.40
  4. Step 4: Simplify right side
    460,851.60x = 100,470,533,826.96
  5. Step 5: Solve for x
    x = 100,470,533,826.96/460,851.60
  6. Step 6: Final answer
    x = 218,010.60

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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.