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Finding the Fourth Proportional to 369,524.32, 509,943.36 and 199,758.76

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Solution

The fourth proportional to 369,524.32, 509,943.36 and 199,758.76 is: 275,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,524.32 : 509,943.36 = 199,758.76 : x
  2. Step 2: Convert to fraction form
    369,524.32/509,943.36 = 199,758.76/x
  3. Step 3: Cross multiply
    369,524.32x = 509,943.36 × 199,758.76
  4. Step 4: Simplify right side
    369,524.32x = 101,865,653,263.83
  5. Step 5: Solve for x
    x = 101,865,653,263.83/369,524.32
  6. Step 6: Final answer
    x = 275,666.98

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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.