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Finding the Fourth Proportional to 265,223.30, 397,831.04 and 65,543.67

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Solution

The fourth proportional to 265,223.30, 397,831.04 and 65,543.67 is: 98,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,223.30 : 397,831.04 = 65,543.67 : x
  2. Step 2: Convert to fraction form
    265,223.30/397,831.04 = 65,543.67/x
  3. Step 3: Cross multiply
    265,223.30x = 397,831.04 × 65,543.67
  4. Step 4: Simplify right side
    265,223.30x = 26,075,306,073.80
  5. Step 5: Solve for x
    x = 26,075,306,073.80/265,223.30
  6. Step 6: Final answer
    x = 98,314.54

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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.