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Finding the Fourth Proportional to 658,032.40, 987,509.40 and 421,949.20

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Solution

The fourth proportional to 658,032.40, 987,509.40 and 421,949.20 is: 633,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,032.40 : 987,509.40 = 421,949.20 : x
  2. Step 2: Convert to fraction form
    658,032.40/987,509.40 = 421,949.20/x
  3. Step 3: Cross multiply
    658,032.40x = 987,509.40 × 421,949.20
  4. Step 4: Simplify right side
    658,032.40x = 416,678,801,322.48
  5. Step 5: Solve for x
    x = 416,678,801,322.48/658,032.40
  6. Step 6: Final answer
    x = 633,219.28

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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.