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Finding the Fourth Proportional to 597,477.82, 896,590.34 and 242,491.80

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Solution

The fourth proportional to 597,477.82, 896,590.34 and 242,491.80 is: 363,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,477.82 : 896,590.34 = 242,491.80 : x
  2. Step 2: Convert to fraction form
    597,477.82/896,590.34 = 242,491.80/x
  3. Step 3: Cross multiply
    597,477.82x = 896,590.34 × 242,491.80
  4. Step 4: Simplify right side
    597,477.82x = 217,415,805,409.21
  5. Step 5: Solve for x
    x = 217,415,805,409.21/597,477.82
  6. Step 6: Final answer
    x = 363,889.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.