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Finding the Fourth Proportional to 314,521.45, 471,388.51 and 247,697.66

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Solution

The fourth proportional to 314,521.45, 471,388.51 and 247,697.66 is: 371,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,521.45 : 471,388.51 = 247,697.66 : x
  2. Step 2: Convert to fraction form
    314,521.45/471,388.51 = 247,697.66/x
  3. Step 3: Cross multiply
    314,521.45x = 471,388.51 × 247,697.66
  4. Step 4: Simplify right side
    314,521.45x = 116,761,830,877.89
  5. Step 5: Solve for x
    x = 116,761,830,877.89/314,521.45
  6. Step 6: Final answer
    x = 371,236.46

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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.