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Finding the Fourth Proportional to 565,829.48, 780,854.15 and 324,133.13

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Solution

The fourth proportional to 565,829.48, 780,854.15 and 324,133.13 is: 447,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,829.48 : 780,854.15 = 324,133.13 : x
  2. Step 2: Convert to fraction form
    565,829.48/780,854.15 = 324,133.13/x
  3. Step 3: Cross multiply
    565,829.48x = 780,854.15 × 324,133.13
  4. Step 4: Simplify right side
    565,829.48x = 253,100,699,712.99
  5. Step 5: Solve for x
    x = 253,100,699,712.99/565,829.48
  6. Step 6: Final answer
    x = 447,309.14

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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.