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Finding the Fourth Proportional to 424,801.96, 586,226.86 and 233,813.98

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Solution

The fourth proportional to 424,801.96, 586,226.86 and 233,813.98 is: 322,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,801.96 : 586,226.86 = 233,813.98 : x
  2. Step 2: Convert to fraction form
    424,801.96/586,226.86 = 233,813.98/x
  3. Step 3: Cross multiply
    424,801.96x = 586,226.86 × 233,813.98
  4. Step 4: Simplify right side
    424,801.96x = 137,068,035,319.50
  5. Step 5: Solve for x
    x = 137,068,035,319.50/424,801.96
  6. Step 6: Final answer
    x = 322,663.38

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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.