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Finding the Fourth Proportional to 584,167.50, 806,151.19 and 315,895.50

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Solution

The fourth proportional to 584,167.50, 806,151.19 and 315,895.50 is: 435,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,167.50 : 806,151.19 = 315,895.50 : x
  2. Step 2: Convert to fraction form
    584,167.50/806,151.19 = 315,895.50/x
  3. Step 3: Cross multiply
    584,167.50x = 806,151.19 × 315,895.50
  4. Step 4: Simplify right side
    584,167.50x = 254,659,533,240.65
  5. Step 5: Solve for x
    x = 254,659,533,240.65/584,167.50
  6. Step 6: Final answer
    x = 435,935.81

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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.