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Finding the Fourth Proportional to 598,330.62, 825,681.78 and 343,698.18

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Solution

The fourth proportional to 598,330.62, 825,681.78 and 343,698.18 is: 474,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,330.62 : 825,681.78 = 343,698.18 : x
  2. Step 2: Convert to fraction form
    598,330.62/825,681.78 = 343,698.18/x
  3. Step 3: Cross multiply
    598,330.62x = 825,681.78 × 343,698.18
  4. Step 4: Simplify right side
    598,330.62x = 283,785,325,045.16
  5. Step 5: Solve for x
    x = 283,785,325,045.16/598,330.62
  6. Step 6: Final answer
    x = 474,295.17

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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.