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Finding the Fourth Proportional to 538,051.02, 737,133.11 and 517,872.30

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Solution

The fourth proportional to 538,051.02, 737,133.11 and 517,872.30 is: 709,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,051.02 : 737,133.11 = 517,872.30 : x
  2. Step 2: Convert to fraction form
    538,051.02/737,133.11 = 517,872.30/x
  3. Step 3: Cross multiply
    538,051.02x = 737,133.11 × 517,872.30
  4. Step 4: Simplify right side
    538,051.02x = 381,740,816,492.49
  5. Step 5: Solve for x
    x = 381,740,816,492.49/538,051.02
  6. Step 6: Final answer
    x = 709,488.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.