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Finding the Fourth Proportional to 216,565.40, 324,848.10 and 207,234.20

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Solution

The fourth proportional to 216,565.40, 324,848.10 and 207,234.20 is: 310,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,565.40 : 324,848.10 = 207,234.20 : x
  2. Step 2: Convert to fraction form
    216,565.40/324,848.10 = 207,234.20/x
  3. Step 3: Cross multiply
    216,565.40x = 324,848.10 × 207,234.20
  4. Step 4: Simplify right side
    216,565.40x = 67,319,636,125.02
  5. Step 5: Solve for x
    x = 67,319,636,125.02/216,565.40
  6. Step 6: Final answer
    x = 310,851.30

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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.