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Finding the Fourth Proportional to 369,360, 509,718.02 and 199,595.34

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Solution

The fourth proportional to 369,360, 509,718.02 and 199,595.34 is: 275,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,360 : 509,718.02 = 199,595.34 : x
  2. Step 2: Convert to fraction form
    369,360/509,718.02 = 199,595.34/x
  3. Step 3: Cross multiply
    369,360x = 509,718.02 × 199,595.34
  4. Step 4: Simplify right side
    369,360x = 101,737,340,508.05
  5. Step 5: Solve for x
    x = 101,737,340,508.05/369,360
  6. Step 6: Final answer
    x = 275,442.23

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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.