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Finding the Fourth Proportional to 407,121.60, 610,682.40 and 289,023.60

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Solution

The fourth proportional to 407,121.60, 610,682.40 and 289,023.60 is: 433,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,121.60 : 610,682.40 = 289,023.60 : x
  2. Step 2: Convert to fraction form
    407,121.60/610,682.40 = 289,023.60/x
  3. Step 3: Cross multiply
    407,121.60x = 610,682.40 × 289,023.60
  4. Step 4: Simplify right side
    407,121.60x = 176,501,625,704.64
  5. Step 5: Solve for x
    x = 176,501,625,704.64/407,121.60
  6. Step 6: Final answer
    x = 433,535.40

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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.