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Finding the Fourth Proportional to 409,653.73, 614,482.55 and 125,343.83

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Solution

The fourth proportional to 409,653.73, 614,482.55 and 125,343.83 is: 188,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,653.73 : 614,482.55 = 125,343.83 : x
  2. Step 2: Convert to fraction form
    409,653.73/614,482.55 = 125,343.83/x
  3. Step 3: Cross multiply
    409,653.73x = 614,482.55 × 125,343.83
  4. Step 4: Simplify right side
    409,653.73x = 77,021,596,389.29
  5. Step 5: Solve for x
    x = 77,021,596,389.29/409,653.73
  6. Step 6: Final answer
    x = 188,016.34

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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.