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Finding the Fourth Proportional to 474,436.42, 654,657.60 and 283,409.26

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Solution

The fourth proportional to 474,436.42, 654,657.60 and 283,409.26 is: 391,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,436.42 : 654,657.60 = 283,409.26 : x
  2. Step 2: Convert to fraction form
    474,436.42/654,657.60 = 283,409.26/x
  3. Step 3: Cross multiply
    474,436.42x = 654,657.60 × 283,409.26
  4. Step 4: Simplify right side
    474,436.42x = 185,536,025,969.38
  5. Step 5: Solve for x
    x = 185,536,025,969.38/474,436.42
  6. Step 6: Final answer
    x = 391,066.15

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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.