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Finding the Fourth Proportional to 927,774, 1,280,328.31 and 565,197.75

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Solution

The fourth proportional to 927,774, 1,280,328.31 and 565,197.75 is: 779,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,774 : 1,280,328.31 = 565,197.75 : x
  2. Step 2: Convert to fraction form
    927,774/1,280,328.31 = 565,197.75/x
  3. Step 3: Cross multiply
    927,774x = 1,280,328.31 × 565,197.75
  4. Step 4: Simplify right side
    927,774x = 723,638,678,660.31
  5. Step 5: Solve for x
    x = 723,638,678,660.31/927,774
  6. Step 6: Final answer
    x = 779,973.01

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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.