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Finding the Fourth Proportional to 731,604.84, 1,009,653.89 and 409,295.71

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Solution

The fourth proportional to 731,604.84, 1,009,653.89 and 409,295.71 is: 564,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,604.84 : 1,009,653.89 = 409,295.71 : x
  2. Step 2: Convert to fraction form
    731,604.84/1,009,653.89 = 409,295.71/x
  3. Step 3: Cross multiply
    731,604.84x = 1,009,653.89 × 409,295.71
  4. Step 4: Simplify right side
    731,604.84x = 413,247,005,761.81
  5. Step 5: Solve for x
    x = 413,247,005,761.81/731,604.84
  6. Step 6: Final answer
    x = 564,850.02

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1.5x scale

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.