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Finding the Fourth Proportional to 752,403.84, 1,038,330 and 412,903.68

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Solution

The fourth proportional to 752,403.84, 1,038,330 and 412,903.68 is: 569,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,403.84 : 1,038,330 = 412,903.68 : x
  2. Step 2: Convert to fraction form
    752,403.84/1,038,330 = 412,903.68/x
  3. Step 3: Cross multiply
    752,403.84x = 1,038,330 × 412,903.68
  4. Step 4: Simplify right side
    752,403.84x = 428,730,278,054.40
  5. Step 5: Solve for x
    x = 428,730,278,054.40/752,403.84
  6. Step 6: Final answer
    x = 569,814.05

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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.