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Finding the Fourth Proportional to 463,991.52, 640,353.24 and 260,077.08

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Solution

The fourth proportional to 463,991.52, 640,353.24 and 260,077.08 is: 358,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,991.52 : 640,353.24 = 260,077.08 : x
  2. Step 2: Convert to fraction form
    463,991.52/640,353.24 = 260,077.08/x
  3. Step 3: Cross multiply
    463,991.52x = 640,353.24 × 260,077.08
  4. Step 4: Simplify right side
    463,991.52x = 166,541,200,827.74
  5. Step 5: Solve for x
    x = 166,541,200,827.74/463,991.52
  6. Step 6: Final answer
    x = 358,931.56

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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.