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Finding the Fourth Proportional to 553,876.20, 830,459.31 and 233,941.38

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Solution

The fourth proportional to 553,876.20, 830,459.31 and 233,941.38 is: 350,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,876.20 : 830,459.31 = 233,941.38 : x
  2. Step 2: Convert to fraction form
    553,876.20/830,459.31 = 233,941.38/x
  3. Step 3: Cross multiply
    553,876.20x = 830,459.31 × 233,941.38
  4. Step 4: Simplify right side
    553,876.20x = 194,278,797,015.25
  5. Step 5: Solve for x
    x = 194,278,797,015.25/553,876.20
  6. Step 6: Final answer
    x = 350,762.13

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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.