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Finding the Fourth Proportional to 583,301.24, 804,955.50 and 315,029.24

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Solution

The fourth proportional to 583,301.24, 804,955.50 and 315,029.24 is: 434,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,301.24 : 804,955.50 = 315,029.24 : x
  2. Step 2: Convert to fraction form
    583,301.24/804,955.50 = 315,029.24/x
  3. Step 3: Cross multiply
    583,301.24x = 804,955.50 × 315,029.24
  4. Step 4: Simplify right side
    583,301.24x = 253,584,519,398.82
  5. Step 5: Solve for x
    x = 253,584,519,398.82/583,301.24
  6. Step 6: Final answer
    x = 434,740.24

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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.