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Finding the Fourth Proportional to 576,098.29, 863,323.80 and 423,095.23

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Solution

The fourth proportional to 576,098.29, 863,323.80 and 423,095.23 is: 634,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,098.29 : 863,323.80 = 423,095.23 : x
  2. Step 2: Convert to fraction form
    576,098.29/863,323.80 = 423,095.23/x
  3. Step 3: Cross multiply
    576,098.29x = 863,323.80 × 423,095.23
  4. Step 4: Simplify right side
    576,098.29x = 365,268,181,725.47
  5. Step 5: Solve for x
    x = 365,268,181,725.47/576,098.29
  6. Step 6: Final answer
    x = 634,037.96

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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.