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Finding the Fourth Proportional to 542,681.84, 814,029.66 and 205,631.93

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Solution

The fourth proportional to 542,681.84, 814,029.66 and 205,631.93 is: 308,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,681.84 : 814,029.66 = 205,631.93 : x
  2. Step 2: Convert to fraction form
    542,681.84/814,029.66 = 205,631.93/x
  3. Step 3: Cross multiply
    542,681.84x = 814,029.66 × 205,631.93
  4. Step 4: Simplify right side
    542,681.84x = 167,390,490,063.04
  5. Step 5: Solve for x
    x = 167,390,490,063.04/542,681.84
  6. Step 6: Final answer
    x = 308,450.51

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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.