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Finding the Fourth Proportional to 292,823.71, 439,196.68 and 82,478.05

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Solution

The fourth proportional to 292,823.71, 439,196.68 and 82,478.05 is: 123,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,823.71 : 439,196.68 = 82,478.05 : x
  2. Step 2: Convert to fraction form
    292,823.71/439,196.68 = 82,478.05/x
  3. Step 3: Cross multiply
    292,823.71x = 439,196.68 × 82,478.05
  4. Step 4: Simplify right side
    292,823.71x = 36,224,084,737.98
  5. Step 5: Solve for x
    x = 36,224,084,737.98/292,823.71
  6. Step 6: Final answer
    x = 123,706.12

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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.