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Finding the Fourth Proportional to 565,594.52, 780,524.91 and 307,471.41

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Solution

The fourth proportional to 565,594.52, 780,524.91 and 307,471.41 is: 424,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,594.52 : 780,524.91 = 307,471.41 : x
  2. Step 2: Convert to fraction form
    565,594.52/780,524.91 = 307,471.41/x
  3. Step 3: Cross multiply
    565,594.52x = 780,524.91 × 307,471.41
  4. Step 4: Simplify right side
    565,594.52x = 239,989,094,617.82
  5. Step 5: Solve for x
    x = 239,989,094,617.82/565,594.52
  6. Step 6: Final answer
    x = 424,312.98

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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.