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Finding the Fourth Proportional to 462,526.51, 693,778.96 and 213,208.51

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Solution

The fourth proportional to 462,526.51, 693,778.96 and 213,208.51 is: 319,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,526.51 : 693,778.96 = 213,208.51 : x
  2. Step 2: Convert to fraction form
    462,526.51/693,778.96 = 213,208.51/x
  3. Step 3: Cross multiply
    462,526.51x = 693,778.96 × 213,208.51
  4. Step 4: Simplify right side
    462,526.51x = 147,919,578,330.95
  5. Step 5: Solve for x
    x = 147,919,578,330.95/462,526.51
  6. Step 6: Final answer
    x = 319,807.78

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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.