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Finding the Fourth Proportional to 474,387.84, 654,868.97 and 302,536.42

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Solution

The fourth proportional to 474,387.84, 654,868.97 and 302,536.42 is: 417,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,387.84 : 654,868.97 = 302,536.42 : x
  2. Step 2: Convert to fraction form
    474,387.84/654,868.97 = 302,536.42/x
  3. Step 3: Cross multiply
    474,387.84x = 654,868.97 × 302,536.42
  4. Step 4: Simplify right side
    474,387.84x = 198,121,713,752.89
  5. Step 5: Solve for x
    x = 198,121,713,752.89/474,387.84
  6. Step 6: Final answer
    x = 417,636.58

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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.