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Finding the Fourth Proportional to 645,092.94, 967,756.01 and 265,802.66

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Solution

The fourth proportional to 645,092.94, 967,756.01 and 265,802.66 is: 398,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,092.94 : 967,756.01 = 265,802.66 : x
  2. Step 2: Convert to fraction form
    645,092.94/967,756.01 = 265,802.66/x
  3. Step 3: Cross multiply
    645,092.94x = 967,756.01 × 265,802.66
  4. Step 4: Simplify right side
    645,092.94x = 257,232,124,593.91
  5. Step 5: Solve for x
    x = 257,232,124,593.91/645,092.94
  6. Step 6: Final answer
    x = 398,752.04

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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.