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Finding the Fourth Proportional to 355,411.60, 532,858.20 and 144,941.20

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Solution

The fourth proportional to 355,411.60, 532,858.20 and 144,941.20 is: 217,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,411.60 : 532,858.20 = 144,941.20 : x
  2. Step 2: Convert to fraction form
    355,411.60/532,858.20 = 144,941.20/x
  3. Step 3: Cross multiply
    355,411.60x = 532,858.20 × 144,941.20
  4. Step 4: Simplify right side
    355,411.60x = 77,233,106,937.84
  5. Step 5: Solve for x
    x = 77,233,106,937.84/355,411.60
  6. Step 6: Final answer
    x = 217,306.10

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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.