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Finding the Fourth Proportional to 384,034.08, 529,941.84 and 240,788

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Solution

The fourth proportional to 384,034.08, 529,941.84 and 240,788 is: 332,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,034.08 : 529,941.84 = 240,788 : x
  2. Step 2: Convert to fraction form
    384,034.08/529,941.84 = 240,788/x
  3. Step 3: Cross multiply
    384,034.08x = 529,941.84 × 240,788
  4. Step 4: Simplify right side
    384,034.08x = 127,603,635,769.92
  5. Step 5: Solve for x
    x = 127,603,635,769.92/384,034.08
  6. Step 6: Final answer
    x = 332,271.65

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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.