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Finding the Fourth Proportional to 464,765.40, 697,133.70 and 132,341.40

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Solution

The fourth proportional to 464,765.40, 697,133.70 and 132,341.40 is: 198,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,765.40 : 697,133.70 = 132,341.40 : x
  2. Step 2: Convert to fraction form
    464,765.40/697,133.70 = 132,341.40/x
  3. Step 3: Cross multiply
    464,765.40x = 697,133.70 × 132,341.40
  4. Step 4: Simplify right side
    464,765.40x = 92,259,649,845.18
  5. Step 5: Solve for x
    x = 92,259,649,845.18/464,765.40
  6. Step 6: Final answer
    x = 198,508.00

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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.