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Finding the Fourth Proportional to 633,098.88, 873,642.96 and 346,563.48

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Solution

The fourth proportional to 633,098.88, 873,642.96 and 346,563.48 is: 478,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,098.88 : 873,642.96 = 346,563.48 : x
  2. Step 2: Convert to fraction form
    633,098.88/873,642.96 = 346,563.48/x
  3. Step 3: Cross multiply
    633,098.88x = 873,642.96 × 346,563.48
  4. Step 4: Simplify right side
    633,098.88x = 302,772,744,495.10
  5. Step 5: Solve for x
    x = 302,772,744,495.10/633,098.88
  6. Step 6: Final answer
    x = 478,239.27

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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.