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Finding the Fourth Proportional to 356,102, 533,385.08 and 335,165.12

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Solution

The fourth proportional to 356,102, 533,385.08 and 335,165.12 is: 502,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,102 : 533,385.08 = 335,165.12 : x
  2. Step 2: Convert to fraction form
    356,102/533,385.08 = 335,165.12/x
  3. Step 3: Cross multiply
    356,102x = 533,385.08 × 335,165.12
  4. Step 4: Simplify right side
    356,102x = 178,772,074,344.41
  5. Step 5: Solve for x
    x = 178,772,074,344.41/356,102
  6. Step 6: Final answer
    x = 502,024.91

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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.