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Finding the Fourth Proportional to 557,041.14, 768,715.92 and 302,392.44

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Solution

The fourth proportional to 557,041.14, 768,715.92 and 302,392.44 is: 417,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,041.14 : 768,715.92 = 302,392.44 : x
  2. Step 2: Convert to fraction form
    557,041.14/768,715.92 = 302,392.44/x
  3. Step 3: Cross multiply
    557,041.14x = 768,715.92 × 302,392.44
  4. Step 4: Simplify right side
    557,041.14x = 232,453,882,715.65
  5. Step 5: Solve for x
    x = 232,453,882,715.65/557,041.14
  6. Step 6: Final answer
    x = 417,301.10

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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.