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Finding the Fourth Proportional to 633,021.42, 873,568.10 and 346,539

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Solution

The fourth proportional to 633,021.42, 873,568.10 and 346,539 is: 478,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,021.42 : 873,568.10 = 346,539 : x
  2. Step 2: Convert to fraction form
    633,021.42/873,568.10 = 346,539/x
  3. Step 3: Cross multiply
    633,021.42x = 873,568.10 × 346,539
  4. Step 4: Simplify right side
    633,021.42x = 302,725,414,073.21
  5. Step 5: Solve for x
    x = 302,725,414,073.21/633,021.42
  6. Step 6: Final answer
    x = 478,223.02

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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.