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Finding the Fourth Proportional to 565,083.95, 847,531.76 and 186,008.81

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Solution

The fourth proportional to 565,083.95, 847,531.76 and 186,008.81 is: 278,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,083.95 : 847,531.76 = 186,008.81 : x
  2. Step 2: Convert to fraction form
    565,083.95/847,531.76 = 186,008.81/x
  3. Step 3: Cross multiply
    565,083.95x = 847,531.76 × 186,008.81
  4. Step 4: Simplify right side
    565,083.95x = 157,648,368,947.10
  5. Step 5: Solve for x
    x = 157,648,368,947.10/565,083.95
  6. Step 6: Final answer
    x = 278,982.21

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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.