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Finding the Fourth Proportional to 563,272.65, 843,820.20 and 313,196.49

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Solution

The fourth proportional to 563,272.65, 843,820.20 and 313,196.49 is: 469,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,272.65 : 843,820.20 = 313,196.49 : x
  2. Step 2: Convert to fraction form
    563,272.65/843,820.20 = 313,196.49/x
  3. Step 3: Cross multiply
    563,272.65x = 843,820.20 × 313,196.49
  4. Step 4: Simplify right side
    563,272.65x = 264,281,524,831.10
  5. Step 5: Solve for x
    x = 264,281,524,831.10/563,272.65
  6. Step 6: Final answer
    x = 469,189.34

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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.