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Finding the Fourth Proportional to 341,413.40, 512,120.10 and 307,587.80

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Solution

The fourth proportional to 341,413.40, 512,120.10 and 307,587.80 is: 461,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,413.40 : 512,120.10 = 307,587.80 : x
  2. Step 2: Convert to fraction form
    341,413.40/512,120.10 = 307,587.80/x
  3. Step 3: Cross multiply
    341,413.40x = 512,120.10 × 307,587.80
  4. Step 4: Simplify right side
    341,413.40x = 157,521,894,894.78
  5. Step 5: Solve for x
    x = 157,521,894,894.78/341,413.40
  6. Step 6: Final answer
    x = 461,381.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.