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Finding the Fourth Proportional to 233,577.76, 350,353.68 and 207,580

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Solution

The fourth proportional to 233,577.76, 350,353.68 and 207,580 is: 311,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,577.76 : 350,353.68 = 207,580 : x
  2. Step 2: Convert to fraction form
    233,577.76/350,353.68 = 207,580/x
  3. Step 3: Cross multiply
    233,577.76x = 350,353.68 × 207,580
  4. Step 4: Simplify right side
    233,577.76x = 72,726,416,894.40
  5. Step 5: Solve for x
    x = 72,726,416,894.40/233,577.76
  6. Step 6: Final answer
    x = 311,358.48

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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.