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Finding the Fourth Proportional to 780,277, 1,076,869.92 and 440,767.12

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Solution

The fourth proportional to 780,277, 1,076,869.92 and 440,767.12 is: 608,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,277 : 1,076,869.92 = 440,767.12 : x
  2. Step 2: Convert to fraction form
    780,277/1,076,869.92 = 440,767.12/x
  3. Step 3: Cross multiply
    780,277x = 1,076,869.92 × 440,767.12
  4. Step 4: Simplify right side
    780,277x = 474,648,853,253.03
  5. Step 5: Solve for x
    x = 474,648,853,253.03/780,277
  6. Step 6: Final answer
    x = 608,308.14

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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.