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Finding the Fourth Proportional to 233,149.60, 349,724.40 and 207,780.40

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Solution

The fourth proportional to 233,149.60, 349,724.40 and 207,780.40 is: 311,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,149.60 : 349,724.40 = 207,780.40 : x
  2. Step 2: Convert to fraction form
    233,149.60/349,724.40 = 207,780.40/x
  3. Step 3: Cross multiply
    233,149.60x = 349,724.40 × 207,780.40
  4. Step 4: Simplify right side
    233,149.60x = 72,665,875,721.76
  5. Step 5: Solve for x
    x = 72,665,875,721.76/233,149.60
  6. Step 6: Final answer
    x = 311,670.60

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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.