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Finding the Fourth Proportional to 297,541.80, 446,355.90 and 97,871.40

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Solution

The fourth proportional to 297,541.80, 446,355.90 and 97,871.40 is: 146,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,541.80 : 446,355.90 = 97,871.40 : x
  2. Step 2: Convert to fraction form
    297,541.80/446,355.90 = 97,871.40/x
  3. Step 3: Cross multiply
    297,541.80x = 446,355.90 × 97,871.40
  4. Step 4: Simplify right side
    297,541.80x = 43,685,476,831.26
  5. Step 5: Solve for x
    x = 43,685,476,831.26/297,541.80
  6. Step 6: Final answer
    x = 146,821.31

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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.