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Finding the Fourth Proportional to 583,909.50, 805,796.19 and 315,637.50

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Solution

The fourth proportional to 583,909.50, 805,796.19 and 315,637.50 is: 435,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,909.50 : 805,796.19 = 315,637.50 : x
  2. Step 2: Convert to fraction form
    583,909.50/805,796.19 = 315,637.50/x
  3. Step 3: Cross multiply
    583,909.50x = 805,796.19 × 315,637.50
  4. Step 4: Simplify right side
    583,909.50x = 254,339,494,921.13
  5. Step 5: Solve for x
    x = 254,339,494,921.13/583,909.50
  6. Step 6: Final answer
    x = 435,580.33

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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.