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Finding the Fourth Proportional to 468,021.60, 702,032.40 and 461,023.20

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Solution

The fourth proportional to 468,021.60, 702,032.40 and 461,023.20 is: 691,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,021.60 : 702,032.40 = 461,023.20 : x
  2. Step 2: Convert to fraction form
    468,021.60/702,032.40 = 461,023.20/x
  3. Step 3: Cross multiply
    468,021.60x = 702,032.40 × 461,023.20
  4. Step 4: Simplify right side
    468,021.60x = 323,653,223,551.68
  5. Step 5: Solve for x
    x = 323,653,223,551.68/468,021.60
  6. Step 6: Final answer
    x = 691,534.80

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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.