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Finding the Fourth Proportional to 463,970.84, 640,593.56 and 289,807.27

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Solution

The fourth proportional to 463,970.84, 640,593.56 and 289,807.27 is: 400,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,970.84 : 640,593.56 = 289,807.27 : x
  2. Step 2: Convert to fraction form
    463,970.84/640,593.56 = 289,807.27/x
  3. Step 3: Cross multiply
    463,970.84x = 640,593.56 × 289,807.27
  4. Step 4: Simplify right side
    463,970.84x = 185,648,669,926.22
  5. Step 5: Solve for x
    x = 185,648,669,926.22/463,970.84
  6. Step 6: Final answer
    x = 400,130.04

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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.