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Finding the Fourth Proportional to 565,092, 779,827.28 and 310,459.59

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Solution

The fourth proportional to 565,092, 779,827.28 and 310,459.59 is: 428,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,092 : 779,827.28 = 310,459.59 : x
  2. Step 2: Convert to fraction form
    565,092/779,827.28 = 310,459.59/x
  3. Step 3: Cross multiply
    565,092x = 779,827.28 × 310,459.59
  4. Step 4: Simplify right side
    565,092x = 242,104,856,067.32
  5. Step 5: Solve for x
    x = 242,104,856,067.32/565,092
  6. Step 6: Final answer
    x = 428,434.41

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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.