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Finding the Fourth Proportional to 583,231, 804,858.78 and 314,959

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Solution

The fourth proportional to 583,231, 804,858.78 and 314,959 is: 434,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,231 : 804,858.78 = 314,959 : x
  2. Step 2: Convert to fraction form
    583,231/804,858.78 = 314,959/x
  3. Step 3: Cross multiply
    583,231x = 804,858.78 × 314,959
  4. Step 4: Simplify right side
    583,231x = 253,497,516,490.02
  5. Step 5: Solve for x
    x = 253,497,516,490.02/583,231
  6. Step 6: Final answer
    x = 434,643.42

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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.