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Finding the Fourth Proportional to 301,531.32, 452,306.52 and 151,689.84

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Solution

The fourth proportional to 301,531.32, 452,306.52 and 151,689.84 is: 227,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,531.32 : 452,306.52 = 151,689.84 : x
  2. Step 2: Convert to fraction form
    301,531.32/452,306.52 = 151,689.84/x
  3. Step 3: Cross multiply
    301,531.32x = 452,306.52 × 151,689.84
  4. Step 4: Simplify right side
    301,531.32x = 68,610,303,649.76
  5. Step 5: Solve for x
    x = 68,610,303,649.76/301,531.32
  6. Step 6: Final answer
    x = 227,539.56

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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.