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Finding the Fourth Proportional to 583,227, 804,853.26 and 314,955

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Solution

The fourth proportional to 583,227, 804,853.26 and 314,955 is: 434,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,227 : 804,853.26 = 314,955 : x
  2. Step 2: Convert to fraction form
    583,227/804,853.26 = 314,955/x
  3. Step 3: Cross multiply
    583,227x = 804,853.26 × 314,955
  4. Step 4: Simplify right side
    583,227x = 253,492,558,503.30
  5. Step 5: Solve for x
    x = 253,492,558,503.30/583,227
  6. Step 6: Final answer
    x = 434,637.90

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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.