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Finding the Fourth Proportional to 942,234, 1,413,662.04 and 380,962.32

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Solution

The fourth proportional to 942,234, 1,413,662.04 and 380,962.32 is: 571,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,234 : 1,413,662.04 = 380,962.32 : x
  2. Step 2: Convert to fraction form
    942,234/1,413,662.04 = 380,962.32/x
  3. Step 3: Cross multiply
    942,234x = 1,413,662.04 × 380,962.32
  4. Step 4: Simplify right side
    942,234x = 538,551,970,454.33
  5. Step 5: Solve for x
    x = 538,551,970,454.33/942,234
  6. Step 6: Final answer
    x = 571,569.24

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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.