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Finding the Fourth Proportional to 563,717.12, 777,820.06 and 334,232

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Solution

The fourth proportional to 563,717.12, 777,820.06 and 334,232 is: 461,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,717.12 : 777,820.06 = 334,232 : x
  2. Step 2: Convert to fraction form
    563,717.12/777,820.06 = 334,232/x
  3. Step 3: Cross multiply
    563,717.12x = 777,820.06 × 334,232
  4. Step 4: Simplify right side
    563,717.12x = 259,972,354,293.92
  5. Step 5: Solve for x
    x = 259,972,354,293.92/563,717.12
  6. Step 6: Final answer
    x = 461,175.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.