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Finding the Fourth Proportional to 791,716, 1,092,568.08 and 434,020

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Solution

The fourth proportional to 791,716, 1,092,568.08 and 434,020 is: 598,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,716 : 1,092,568.08 = 434,020 : x
  2. Step 2: Convert to fraction form
    791,716/1,092,568.08 = 434,020/x
  3. Step 3: Cross multiply
    791,716x = 1,092,568.08 × 434,020
  4. Step 4: Simplify right side
    791,716x = 474,196,398,081.60
  5. Step 5: Solve for x
    x = 474,196,398,081.60/791,716
  6. Step 6: Final answer
    x = 598,947.60

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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.