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Finding the Fourth Proportional to 424,903.68, 586,372.23 and 233,929.98

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Solution

The fourth proportional to 424,903.68, 586,372.23 and 233,929.98 is: 322,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,903.68 : 586,372.23 = 233,929.98 : x
  2. Step 2: Convert to fraction form
    424,903.68/586,372.23 = 233,929.98/x
  3. Step 3: Cross multiply
    424,903.68x = 586,372.23 × 233,929.98
  4. Step 4: Simplify right side
    424,903.68x = 137,170,044,036.46
  5. Step 5: Solve for x
    x = 137,170,044,036.46/424,903.68
  6. Step 6: Final answer
    x = 322,826.21

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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.