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Finding the Fourth Proportional to 565,223.23, 847,834.83 and 265,483.93

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Solution

The fourth proportional to 565,223.23, 847,834.83 and 265,483.93 is: 398,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,223.23 : 847,834.83 = 265,483.93 : x
  2. Step 2: Convert to fraction form
    565,223.23/847,834.83 = 265,483.93/x
  3. Step 3: Cross multiply
    565,223.23x = 847,834.83 × 265,483.93
  4. Step 4: Simplify right side
    565,223.23x = 225,086,522,659.28
  5. Step 5: Solve for x
    x = 225,086,522,659.28/565,223.23
  6. Step 6: Final answer
    x = 398,225.89

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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.