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Finding the Fourth Proportional to 299,780.30, 448,686.30 and 232,858.10

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Solution

The fourth proportional to 299,780.30, 448,686.30 and 232,858.10 is: 348,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780.30 : 448,686.30 = 232,858.10 : x
  2. Step 2: Convert to fraction form
    299,780.30/448,686.30 = 232,858.10/x
  3. Step 3: Cross multiply
    299,780.30x = 448,686.30 × 232,858.10
  4. Step 4: Simplify right side
    299,780.30x = 104,480,239,314.03
  5. Step 5: Solve for x
    x = 104,480,239,314.03/299,780.30
  6. Step 6: Final answer
    x = 348,522.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.