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Finding the Fourth Proportional to 510,222.38, 765,340.92 and 177,798.38

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Solution

The fourth proportional to 510,222.38, 765,340.92 and 177,798.38 is: 266,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,222.38 : 765,340.92 = 177,798.38 : x
  2. Step 2: Convert to fraction form
    510,222.38/765,340.92 = 177,798.38/x
  3. Step 3: Cross multiply
    510,222.38x = 765,340.92 × 177,798.38
  4. Step 4: Simplify right side
    510,222.38x = 136,076,371,897.01
  5. Step 5: Solve for x
    x = 136,076,371,897.01/510,222.38
  6. Step 6: Final answer
    x = 266,700.13

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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.