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Finding the Fourth Proportional to 565,360.57, 847,708.75 and 228,411.91

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Solution

The fourth proportional to 565,360.57, 847,708.75 and 228,411.91 is: 342,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,360.57 : 847,708.75 = 228,411.91 : x
  2. Step 2: Convert to fraction form
    565,360.57/847,708.75 = 228,411.91/x
  3. Step 3: Cross multiply
    565,360.57x = 847,708.75 × 228,411.91
  4. Step 4: Simplify right side
    565,360.57x = 193,626,774,711.21
  5. Step 5: Solve for x
    x = 193,626,774,711.21/565,360.57
  6. Step 6: Final answer
    x = 342,483.69

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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.