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Finding the Fourth Proportional to 516,351.84, 774,830.90 and 216,809.39

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Solution

The fourth proportional to 516,351.84, 774,830.90 and 216,809.39 is: 325,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,351.84 : 774,830.90 = 216,809.39 : x
  2. Step 2: Convert to fraction form
    516,351.84/774,830.90 = 216,809.39/x
  3. Step 3: Cross multiply
    516,351.84x = 774,830.90 × 216,809.39
  4. Step 4: Simplify right side
    516,351.84x = 167,990,609,823.95
  5. Step 5: Solve for x
    x = 167,990,609,823.95/516,351.84
  6. Step 6: Final answer
    x = 325,341.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.