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Finding the Fourth Proportional to 413,343, 620,053.68 and 160,642.97

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Solution

The fourth proportional to 413,343, 620,053.68 and 160,642.97 is: 240,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343 : 620,053.68 = 160,642.97 : x
  2. Step 2: Convert to fraction form
    413,343/620,053.68 = 160,642.97/x
  3. Step 3: Cross multiply
    413,343x = 620,053.68 × 160,642.97
  4. Step 4: Simplify right side
    413,343x = 99,607,266,285.87
  5. Step 5: Solve for x
    x = 99,607,266,285.87/413,343
  6. Step 6: Final answer
    x = 240,979.69

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1.5x scale

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.