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Finding the Fourth Proportional to 458,841.22, 633,302.01 and 254,962.06

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Solution

The fourth proportional to 458,841.22, 633,302.01 and 254,962.06 is: 351,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,841.22 : 633,302.01 = 254,962.06 : x
  2. Step 2: Convert to fraction form
    458,841.22/633,302.01 = 254,962.06/x
  3. Step 3: Cross multiply
    458,841.22x = 633,302.01 × 254,962.06
  4. Step 4: Simplify right side
    458,841.22x = 161,467,985,071.74
  5. Step 5: Solve for x
    x = 161,467,985,071.74/458,841.22
  6. Step 6: Final answer
    x = 351,903.84

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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.