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Finding the Fourth Proportional to 466,301.89, 643,496.63 and 265,097.89

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Solution

The fourth proportional to 466,301.89, 643,496.63 and 265,097.89 is: 365,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,301.89 : 643,496.63 = 265,097.89 : x
  2. Step 2: Convert to fraction form
    466,301.89/643,496.63 = 265,097.89/x
  3. Step 3: Cross multiply
    466,301.89x = 643,496.63 × 265,097.89
  4. Step 4: Simplify right side
    466,301.89x = 170,589,598,835.11
  5. Step 5: Solve for x
    x = 170,589,598,835.11/466,301.89
  6. Step 6: Final answer
    x = 365,835.10

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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.