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Finding the Fourth Proportional to 565,615.93, 780,329.16 and 323,769.27

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Solution

The fourth proportional to 565,615.93, 780,329.16 and 323,769.27 is: 446,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,615.93 : 780,329.16 = 323,769.27 : x
  2. Step 2: Convert to fraction form
    565,615.93/780,329.16 = 323,769.27/x
  3. Step 3: Cross multiply
    565,615.93x = 780,329.16 × 323,769.27
  4. Step 4: Simplify right side
    565,615.93x = 252,646,602,492.91
  5. Step 5: Solve for x
    x = 252,646,602,492.91/565,615.93
  6. Step 6: Final answer
    x = 446,675.19

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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.