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Finding the Fourth Proportional to 583,816.80, 805,668.24 and 315,544.80

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Solution

The fourth proportional to 583,816.80, 805,668.24 and 315,544.80 is: 435,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,816.80 : 805,668.24 = 315,544.80 : x
  2. Step 2: Convert to fraction form
    583,816.80/805,668.24 = 315,544.80/x
  3. Step 3: Cross multiply
    583,816.80x = 805,668.24 × 315,544.80
  4. Step 4: Simplify right side
    583,816.80x = 254,224,423,657.15
  5. Step 5: Solve for x
    x = 254,224,423,657.15/583,816.80
  6. Step 6: Final answer
    x = 435,452.39

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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.