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Finding the Fourth Proportional to 288,596.20, 432,894.30 and 235,452.10

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Solution

The fourth proportional to 288,596.20, 432,894.30 and 235,452.10 is: 353,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,596.20 : 432,894.30 = 235,452.10 : x
  2. Step 2: Convert to fraction form
    288,596.20/432,894.30 = 235,452.10/x
  3. Step 3: Cross multiply
    288,596.20x = 432,894.30 × 235,452.10
  4. Step 4: Simplify right side
    288,596.20x = 101,925,872,013.03
  5. Step 5: Solve for x
    x = 101,925,872,013.03/288,596.20
  6. Step 6: Final answer
    x = 353,178.15

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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.