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Finding the Fourth Proportional to 414,009.60, 621,014.40 and 361,521.60

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Solution

The fourth proportional to 414,009.60, 621,014.40 and 361,521.60 is: 542,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,009.60 : 621,014.40 = 361,521.60 : x
  2. Step 2: Convert to fraction form
    414,009.60/621,014.40 = 361,521.60/x
  3. Step 3: Cross multiply
    414,009.60x = 621,014.40 × 361,521.60
  4. Step 4: Simplify right side
    414,009.60x = 224,510,119,511.04
  5. Step 5: Solve for x
    x = 224,510,119,511.04/414,009.60
  6. Step 6: Final answer
    x = 542,282.40

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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.