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Finding the Fourth Proportional to 434,773.80, 652,160.70 and 222,197.40

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Solution

The fourth proportional to 434,773.80, 652,160.70 and 222,197.40 is: 333,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,773.80 : 652,160.70 = 222,197.40 : x
  2. Step 2: Convert to fraction form
    434,773.80/652,160.70 = 222,197.40/x
  3. Step 3: Cross multiply
    434,773.80x = 652,160.70 × 222,197.40
  4. Step 4: Simplify right side
    434,773.80x = 144,908,411,922.18
  5. Step 5: Solve for x
    x = 144,908,411,922.18/434,773.80
  6. Step 6: Final answer
    x = 333,296.10

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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.