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Finding the Fourth Proportional to 378,392.84, 567,727.68 and 176,085.47

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Solution

The fourth proportional to 378,392.84, 567,727.68 and 176,085.47 is: 264,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,392.84 : 567,727.68 = 176,085.47 : x
  2. Step 2: Convert to fraction form
    378,392.84/567,727.68 = 176,085.47/x
  3. Step 3: Cross multiply
    378,392.84x = 567,727.68 × 176,085.47
  4. Step 4: Simplify right side
    378,392.84x = 99,968,592,526.17
  5. Step 5: Solve for x
    x = 99,968,592,526.17/378,392.84
  6. Step 6: Final answer
    x = 264,192.61

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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.