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Finding the Fourth Proportional to 704,544, 972,270.78 and 402,744.48

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Solution

The fourth proportional to 704,544, 972,270.78 and 402,744.48 is: 555,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,544 : 972,270.78 = 402,744.48 : x
  2. Step 2: Convert to fraction form
    704,544/972,270.78 = 402,744.48/x
  3. Step 3: Cross multiply
    704,544x = 972,270.78 × 402,744.48
  4. Step 4: Simplify right side
    704,544x = 391,576,689,710.29
  5. Step 5: Solve for x
    x = 391,576,689,710.29/704,544
  6. Step 6: Final answer
    x = 555,787.42

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