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Finding the Fourth Proportional to 433,044.64, 597,602.30 and 242,057.84

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Solution

The fourth proportional to 433,044.64, 597,602.30 and 242,057.84 is: 334,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,044.64 : 597,602.30 = 242,057.84 : x
  2. Step 2: Convert to fraction form
    433,044.64/597,602.30 = 242,057.84/x
  3. Step 3: Cross multiply
    433,044.64x = 597,602.30 × 242,057.84
  4. Step 4: Simplify right side
    433,044.64x = 144,654,321,917.03
  5. Step 5: Solve for x
    x = 144,654,321,917.03/433,044.64
  6. Step 6: Final answer
    x = 334,040.21

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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.