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Finding the Fourth Proportional to 346,651.46, 478,382.18 and 203,413.89

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Solution

The fourth proportional to 346,651.46, 478,382.18 and 203,413.89 is: 280,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,651.46 : 478,382.18 = 203,413.89 : x
  2. Step 2: Convert to fraction form
    346,651.46/478,382.18 = 203,413.89/x
  3. Step 3: Cross multiply
    346,651.46x = 478,382.18 × 203,413.89
  4. Step 4: Simplify right side
    346,651.46x = 97,309,580,140.48
  5. Step 5: Solve for x
    x = 97,309,580,140.48/346,651.46
  6. Step 6: Final answer
    x = 280,713.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.