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Finding the Fourth Proportional to 565,356.07, 847,702 and 228,407.41

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Solution

The fourth proportional to 565,356.07, 847,702 and 228,407.41 is: 342,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,356.07 : 847,702 = 228,407.41 : x
  2. Step 2: Convert to fraction form
    565,356.07/847,702 = 228,407.41/x
  3. Step 3: Cross multiply
    565,356.07x = 847,702 × 228,407.41
  4. Step 4: Simplify right side
    565,356.07x = 193,621,418,271.82
  5. Step 5: Solve for x
    x = 193,621,418,271.82/565,356.07
  6. Step 6: Final answer
    x = 342,476.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.