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Finding the Fourth Proportional to 424,716.48, 586,108.83 and 233,729.88

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Solution

The fourth proportional to 424,716.48, 586,108.83 and 233,729.88 is: 322,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,716.48 : 586,108.83 = 233,729.88 : x
  2. Step 2: Convert to fraction form
    424,716.48/586,108.83 = 233,729.88/x
  3. Step 3: Cross multiply
    424,716.48x = 586,108.83 × 233,729.88
  4. Step 4: Simplify right side
    424,716.48x = 136,991,146,502.84
  5. Step 5: Solve for x
    x = 136,991,146,502.84/424,716.48
  6. Step 6: Final answer
    x = 322,547.28

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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.