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Finding the Fourth Proportional to 761,632, 1,051,052.16 and 422,122.12

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Solution

The fourth proportional to 761,632, 1,051,052.16 and 422,122.12 is: 582,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,632 : 1,051,052.16 = 422,122.12 : x
  2. Step 2: Convert to fraction form
    761,632/1,051,052.16 = 422,122.12/x
  3. Step 3: Cross multiply
    761,632x = 1,051,052.16 × 422,122.12
  4. Step 4: Simplify right side
    761,632x = 443,672,366,009.78
  5. Step 5: Solve for x
    x = 443,672,366,009.78/761,632
  6. Step 6: Final answer
    x = 582,528.53

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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.