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Finding the Fourth Proportional to 424,706.21, 586,094.70 and 233,719.61

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Solution

The fourth proportional to 424,706.21, 586,094.70 and 233,719.61 is: 322,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,706.21 : 586,094.70 = 233,719.61 : x
  2. Step 2: Convert to fraction form
    424,706.21/586,094.70 = 233,719.61/x
  3. Step 3: Cross multiply
    424,706.21x = 586,094.70 × 233,719.61
  4. Step 4: Simplify right side
    424,706.21x = 136,981,824,707.07
  5. Step 5: Solve for x
    x = 136,981,824,707.07/424,706.21
  6. Step 6: Final answer
    x = 322,533.13

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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.