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Finding the Fourth Proportional to 463,943.61, 640,287 and 260,028.90

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Solution

The fourth proportional to 463,943.61, 640,287 and 260,028.90 is: 358,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,943.61 : 640,287 = 260,028.90 : x
  2. Step 2: Convert to fraction form
    463,943.61/640,287 = 260,028.90/x
  3. Step 3: Cross multiply
    463,943.61x = 640,287 × 260,028.90
  4. Step 4: Simplify right side
    463,943.61x = 166,493,124,294.30
  5. Step 5: Solve for x
    x = 166,493,124,294.30/463,943.61
  6. Step 6: Final answer
    x = 358,865.00

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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.