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Finding the Fourth Proportional to 417,363.51, 575,962.47 and 226,377.66

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Solution

The fourth proportional to 417,363.51, 575,962.47 and 226,377.66 is: 312,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,363.51 : 575,962.47 = 226,377.66 : x
  2. Step 2: Convert to fraction form
    417,363.51/575,962.47 = 226,377.66/x
  3. Step 3: Cross multiply
    417,363.51x = 575,962.47 × 226,377.66
  4. Step 4: Simplify right side
    417,363.51x = 130,385,036,206.42
  5. Step 5: Solve for x
    x = 130,385,036,206.42/417,363.51
  6. Step 6: Final answer
    x = 312,401.62

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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.