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Finding the Fourth Proportional to 1,681,728, 2,320,833.84 and 917,830.56

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Solution

The fourth proportional to 1,681,728, 2,320,833.84 and 917,830.56 is: 1,266,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,728 : 2,320,833.84 = 917,830.56 : x
  2. Step 2: Convert to fraction form
    1,681,728/2,320,833.84 = 917,830.56/x
  3. Step 3: Cross multiply
    1,681,728x = 2,320,833.84 × 917,830.56
  4. Step 4: Simplify right side
    1,681,728x = 2,130,132,223,034.15
  5. Step 5: Solve for x
    x = 2,130,132,223,034.15/1,681,728
  6. Step 6: Final answer
    x = 1,266,633.02

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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.