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Finding the Fourth Proportional to 409,781.94, 565,506.05 and 226,041.60

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Solution

The fourth proportional to 409,781.94, 565,506.05 and 226,041.60 is: 311,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,781.94 : 565,506.05 = 226,041.60 : x
  2. Step 2: Convert to fraction form
    409,781.94/565,506.05 = 226,041.60/x
  3. Step 3: Cross multiply
    409,781.94x = 565,506.05 × 226,041.60
  4. Step 4: Simplify right side
    409,781.94x = 127,827,891,221.47
  5. Step 5: Solve for x
    x = 127,827,891,221.47/409,781.94
  6. Step 6: Final answer
    x = 311,941.25

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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.