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Finding the Fourth Proportional to 468,309.60, 702,463.36 and 361,848.24

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Solution

The fourth proportional to 468,309.60, 702,463.36 and 361,848.24 is: 542,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,309.60 : 702,463.36 = 361,848.24 : x
  2. Step 2: Convert to fraction form
    468,309.60/702,463.36 = 361,848.24/x
  3. Step 3: Cross multiply
    468,309.60x = 702,463.36 × 361,848.24
  4. Step 4: Simplify right side
    468,309.60x = 254,185,130,480.49
  5. Step 5: Solve for x
    x = 254,185,130,480.49/468,309.60
  6. Step 6: Final answer
    x = 542,771.56

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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.