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Finding the Fourth Proportional to 565,092.64, 779,828.13 and 310,460.23

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Solution

The fourth proportional to 565,092.64, 779,828.13 and 310,460.23 is: 428,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,092.64 : 779,828.13 = 310,460.23 : x
  2. Step 2: Convert to fraction form
    565,092.64/779,828.13 = 310,460.23/x
  3. Step 3: Cross multiply
    565,092.64x = 779,828.13 × 310,460.23
  4. Step 4: Simplify right side
    565,092.64x = 242,105,620,600.27
  5. Step 5: Solve for x
    x = 242,105,620,600.27/565,092.64
  6. Step 6: Final answer
    x = 428,435.27

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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.