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Finding the Fourth Proportional to 583,237, 804,867.06 and 314,965

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Solution

The fourth proportional to 583,237, 804,867.06 and 314,965 is: 434,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,237 : 804,867.06 = 314,965 : x
  2. Step 2: Convert to fraction form
    583,237/804,867.06 = 314,965/x
  3. Step 3: Cross multiply
    583,237x = 804,867.06 × 314,965
  4. Step 4: Simplify right side
    583,237x = 253,504,953,552.90
  5. Step 5: Solve for x
    x = 253,504,953,552.90/583,237
  6. Step 6: Final answer
    x = 434,651.70

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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.