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Finding the Fourth Proportional to 400,594.40, 600,969.36 and 120,088.16

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Solution

The fourth proportional to 400,594.40, 600,969.36 and 120,088.16 is: 180,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,594.40 : 600,969.36 = 120,088.16 : x
  2. Step 2: Convert to fraction form
    400,594.40/600,969.36 = 120,088.16/x
  3. Step 3: Cross multiply
    400,594.40x = 600,969.36 × 120,088.16
  4. Step 4: Simplify right side
    400,594.40x = 72,169,304,658.78
  5. Step 5: Solve for x
    x = 72,169,304,658.78/400,594.40
  6. Step 6: Final answer
    x = 180,155.55

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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.