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Finding the Fourth Proportional to 411,407.60, 617,156.76 and 130,859.24

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Solution

The fourth proportional to 411,407.60, 617,156.76 and 130,859.24 is: 196,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,407.60 : 617,156.76 = 130,859.24 : x
  2. Step 2: Convert to fraction form
    411,407.60/617,156.76 = 130,859.24/x
  3. Step 3: Cross multiply
    411,407.60x = 617,156.76 × 130,859.24
  4. Step 4: Simplify right side
    411,407.60x = 80,760,664,574.46
  5. Step 5: Solve for x
    x = 80,760,664,574.46/411,407.60
  6. Step 6: Final answer
    x = 196,303.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.