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Finding the Fourth Proportional to 346,713.90, 520,070.85 and 204,413.10

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Solution

The fourth proportional to 346,713.90, 520,070.85 and 204,413.10 is: 306,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,713.90 : 520,070.85 = 204,413.10 : x
  2. Step 2: Convert to fraction form
    346,713.90/520,070.85 = 204,413.10/x
  3. Step 3: Cross multiply
    346,713.90x = 520,070.85 × 204,413.10
  4. Step 4: Simplify right side
    346,713.90x = 106,309,294,668.14
  5. Step 5: Solve for x
    x = 106,309,294,668.14/346,713.90
  6. Step 6: Final answer
    x = 306,619.65

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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.