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Finding the Fourth Proportional to 705,024.97, 972,935.67 and 403,218.97

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Solution

The fourth proportional to 705,024.97, 972,935.67 and 403,218.97 is: 556,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,024.97 : 972,935.67 = 403,218.97 : x
  2. Step 2: Convert to fraction form
    705,024.97/972,935.67 = 403,218.97/x
  3. Step 3: Cross multiply
    705,024.97x = 972,935.67 × 403,218.97
  4. Step 4: Simplify right side
    705,024.97x = 392,306,113,868.98
  5. Step 5: Solve for x
    x = 392,306,113,868.98/705,024.97
  6. Step 6: Final answer
    x = 556,442.87

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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.