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Finding the Fourth Proportional to 369,226.40, 509,534.40 and 208,083.92

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Solution

The fourth proportional to 369,226.40, 509,534.40 and 208,083.92 is: 287,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,226.40 : 509,534.40 = 208,083.92 : x
  2. Step 2: Convert to fraction form
    369,226.40/509,534.40 = 208,083.92/x
  3. Step 3: Cross multiply
    369,226.40x = 509,534.40 × 208,083.92
  4. Step 4: Simplify right side
    369,226.40x = 106,025,915,326.85
  5. Step 5: Solve for x
    x = 106,025,915,326.85/369,226.40
  6. Step 6: Final answer
    x = 287,156.92

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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.