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Finding the Fourth Proportional to 461,924.40, 692,821.80 and 146,413.20

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Solution

The fourth proportional to 461,924.40, 692,821.80 and 146,413.20 is: 219,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,924.40 : 692,821.80 = 146,413.20 : x
  2. Step 2: Convert to fraction form
    461,924.40/692,821.80 = 146,413.20/x
  3. Step 3: Cross multiply
    461,924.40x = 692,821.80 × 146,413.20
  4. Step 4: Simplify right side
    461,924.40x = 101,438,256,767.76
  5. Step 5: Solve for x
    x = 101,438,256,767.76/461,924.40
  6. Step 6: Final answer
    x = 219,599.26

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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.