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Finding the Fourth Proportional to 524,728.98, 786,429.06 and 335,116.08

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Solution

The fourth proportional to 524,728.98, 786,429.06 and 335,116.08 is: 502,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,728.98 : 786,429.06 = 335,116.08 : x
  2. Step 2: Convert to fraction form
    524,728.98/786,429.06 = 335,116.08/x
  3. Step 3: Cross multiply
    524,728.98x = 786,429.06 × 335,116.08
  4. Step 4: Simplify right side
    524,728.98x = 263,545,023,785.29
  5. Step 5: Solve for x
    x = 263,545,023,785.29/524,728.98
  6. Step 6: Final answer
    x = 502,249.80

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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.