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Finding the Fourth Proportional to 777,597.54, 1,073,084.70 and 438,065.82

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Solution

The fourth proportional to 777,597.54, 1,073,084.70 and 438,065.82 is: 604,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,597.54 : 1,073,084.70 = 438,065.82 : x
  2. Step 2: Convert to fraction form
    777,597.54/1,073,084.70 = 438,065.82/x
  3. Step 3: Cross multiply
    777,597.54x = 1,073,084.70 × 438,065.82
  4. Step 4: Simplify right side
    777,597.54x = 470,081,729,034.95
  5. Step 5: Solve for x
    x = 470,081,729,034.95/777,597.54
  6. Step 6: Final answer
    x = 604,530.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.