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Finding the Fourth Proportional to 771,420.38, 1,064,524.41 and 427,233.02

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Solution

The fourth proportional to 771,420.38, 1,064,524.41 and 427,233.02 is: 589,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,420.38 : 1,064,524.41 = 427,233.02 : x
  2. Step 2: Convert to fraction form
    771,420.38/1,064,524.41 = 427,233.02/x
  3. Step 3: Cross multiply
    771,420.38x = 1,064,524.41 × 427,233.02
  4. Step 4: Simplify right side
    771,420.38x = 454,799,973,225.40
  5. Step 5: Solve for x
    x = 454,799,973,225.40/771,420.38
  6. Step 6: Final answer
    x = 589,561.78

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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.