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Finding the Fourth Proportional to 583,291.13, 804,941.75 and 315,019.13

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Solution

The fourth proportional to 583,291.13, 804,941.75 and 315,019.13 is: 434,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,291.13 : 804,941.75 = 315,019.13 : x
  2. Step 2: Convert to fraction form
    583,291.13/804,941.75 = 315,019.13/x
  3. Step 3: Cross multiply
    583,291.13x = 804,941.75 × 315,019.13
  4. Step 4: Simplify right side
    583,291.13x = 253,572,046,548.52
  5. Step 5: Solve for x
    x = 253,572,046,548.52/583,291.13
  6. Step 6: Final answer
    x = 434,726.39

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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.