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Finding the Fourth Proportional to 463,413.90, 694,602.45 and 197,129.10

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Solution

The fourth proportional to 463,413.90, 694,602.45 and 197,129.10 is: 295,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,413.90 : 694,602.45 = 197,129.10 : x
  2. Step 2: Convert to fraction form
    463,413.90/694,602.45 = 197,129.10/x
  3. Step 3: Cross multiply
    463,413.90x = 694,602.45 × 197,129.10
  4. Step 4: Simplify right side
    463,413.90x = 136,926,355,826.30
  5. Step 5: Solve for x
    x = 136,926,355,826.30/463,413.90
  6. Step 6: Final answer
    x = 295,473.13

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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.