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Finding the Fourth Proportional to 370,683.60, 511,543.80 and 200,916.24

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Solution

The fourth proportional to 370,683.60, 511,543.80 and 200,916.24 is: 277,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,683.60 : 511,543.80 = 200,916.24 : x
  2. Step 2: Convert to fraction form
    370,683.60/511,543.80 = 200,916.24/x
  3. Step 3: Cross multiply
    370,683.60x = 511,543.80 × 200,916.24
  4. Step 4: Simplify right side
    370,683.60x = 102,777,456,891.31
  5. Step 5: Solve for x
    x = 102,777,456,891.31/370,683.60
  6. Step 6: Final answer
    x = 277,264.65

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1.5x scale

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.