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Finding the Fourth Proportional to 299,784.30, 448,692.30 and 232,862.10

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Solution

The fourth proportional to 299,784.30, 448,692.30 and 232,862.10 is: 348,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,784.30 : 448,692.30 = 232,862.10 : x
  2. Step 2: Convert to fraction form
    299,784.30/448,692.30 = 232,862.10/x
  3. Step 3: Cross multiply
    299,784.30x = 448,692.30 × 232,862.10
  4. Step 4: Simplify right side
    299,784.30x = 104,483,431,231.83
  5. Step 5: Solve for x
    x = 104,483,431,231.83/299,784.30
  6. Step 6: Final answer
    x = 348,528.70

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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.