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Finding the Fourth Proportional to 471,521.76, 707,024.16 and 186,924

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Solution

The fourth proportional to 471,521.76, 707,024.16 and 186,924 is: 280,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,521.76 : 707,024.16 = 186,924 : x
  2. Step 2: Convert to fraction form
    471,521.76/707,024.16 = 186,924/x
  3. Step 3: Cross multiply
    471,521.76x = 707,024.16 × 186,924
  4. Step 4: Simplify right side
    471,521.76x = 132,159,784,083.84
  5. Step 5: Solve for x
    x = 132,159,784,083.84/471,521.76
  6. Step 6: Final answer
    x = 280,283.53

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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.