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Finding the Fourth Proportional to 404,657.90, 565,471.30 and 404,657.90

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Solution

The fourth proportional to 404,657.90, 565,471.30 and 404,657.90 is: 565,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,657.90 : 565,471.30 = 404,657.90 : x
  2. Step 2: Convert to fraction form
    404,657.90/565,471.30 = 404,657.90/x
  3. Step 3: Cross multiply
    404,657.90x = 565,471.30 × 404,657.90
  4. Step 4: Simplify right side
    404,657.90x = 228,822,428,768.27
  5. Step 5: Solve for x
    x = 228,822,428,768.27/404,657.90
  6. Step 6: Final answer
    x = 565,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.