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Finding the Fourth Proportional to 780,397, 1,076,947.86 and 422,701

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Solution

The fourth proportional to 780,397, 1,076,947.86 and 422,701 is: 583,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,397 : 1,076,947.86 = 422,701 : x
  2. Step 2: Convert to fraction form
    780,397/1,076,947.86 = 422,701/x
  3. Step 3: Cross multiply
    780,397x = 1,076,947.86 × 422,701
  4. Step 4: Simplify right side
    780,397x = 455,226,937,369.86
  5. Step 5: Solve for x
    x = 455,226,937,369.86/780,397
  6. Step 6: Final answer
    x = 583,327.38

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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.