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Finding the Fourth Proportional to 398,703.18, 597,952.89 and 118,154.94

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Solution

The fourth proportional to 398,703.18, 597,952.89 and 118,154.94 is: 177,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,703.18 : 597,952.89 = 118,154.94 : x
  2. Step 2: Convert to fraction form
    398,703.18/597,952.89 = 118,154.94/x
  3. Step 3: Cross multiply
    398,703.18x = 597,952.89 × 118,154.94
  4. Step 4: Simplify right side
    398,703.18x = 70,651,087,840.78
  5. Step 5: Solve for x
    x = 70,651,087,840.78/398,703.18
  6. Step 6: Final answer
    x = 177,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.