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Finding the Fourth Proportional to 565,932.42, 781,038.45 and 324,293.22

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Solution

The fourth proportional to 565,932.42, 781,038.45 and 324,293.22 is: 447,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,932.42 : 781,038.45 = 324,293.22 : x
  2. Step 2: Convert to fraction form
    565,932.42/781,038.45 = 324,293.22/x
  3. Step 3: Cross multiply
    565,932.42x = 781,038.45 × 324,293.22
  4. Step 4: Simplify right side
    565,932.42x = 253,285,473,894.31
  5. Step 5: Solve for x
    x = 253,285,473,894.31/565,932.42
  6. Step 6: Final answer
    x = 447,554.27

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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.