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Finding the Fourth Proportional to 771,577.38, 1,064,752.70 and 427,399.47

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Solution

The fourth proportional to 771,577.38, 1,064,752.70 and 427,399.47 is: 589,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,577.38 : 1,064,752.70 = 427,399.47 : x
  2. Step 2: Convert to fraction form
    771,577.38/1,064,752.70 = 427,399.47/x
  3. Step 3: Cross multiply
    771,577.38x = 1,064,752.70 × 427,399.47
  4. Step 4: Simplify right side
    771,577.38x = 455,074,737,524.07
  5. Step 5: Solve for x
    x = 455,074,737,524.07/771,577.38
  6. Step 6: Final answer
    x = 589,797.92

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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.