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Finding the Fourth Proportional to 583,238, 804,868.44 and 314,966

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Solution

The fourth proportional to 583,238, 804,868.44 and 314,966 is: 434,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,238 : 804,868.44 = 314,966 : x
  2. Step 2: Convert to fraction form
    583,238/804,868.44 = 314,966/x
  3. Step 3: Cross multiply
    583,238x = 804,868.44 × 314,966
  4. Step 4: Simplify right side
    583,238x = 253,506,193,073.04
  5. Step 5: Solve for x
    x = 253,506,193,073.04/583,238
  6. Step 6: Final answer
    x = 434,653.08

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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.