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Finding the Fourth Proportional to 468,085.80, 702,128.70 and 448,402.80

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Solution

The fourth proportional to 468,085.80, 702,128.70 and 448,402.80 is: 672,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,085.80 : 702,128.70 = 448,402.80 : x
  2. Step 2: Convert to fraction form
    468,085.80/702,128.70 = 448,402.80/x
  3. Step 3: Cross multiply
    468,085.80x = 702,128.70 × 448,402.80
  4. Step 4: Simplify right side
    468,085.80x = 314,836,475,040.36
  5. Step 5: Solve for x
    x = 314,836,475,040.36/468,085.80
  6. Step 6: Final answer
    x = 672,604.20

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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.