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Finding the Fourth Proportional to 366,886.84, 506,314.92 and 205,756.80

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Solution

The fourth proportional to 366,886.84, 506,314.92 and 205,756.80 is: 283,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,886.84 : 506,314.92 = 205,756.80 : x
  2. Step 2: Convert to fraction form
    366,886.84/506,314.92 = 205,756.80/x
  3. Step 3: Cross multiply
    366,886.84x = 506,314.92 × 205,756.80
  4. Step 4: Simplify right side
    366,886.84x = 104,177,737,731.46
  5. Step 5: Solve for x
    x = 104,177,737,731.46/366,886.84
  6. Step 6: Final answer
    x = 283,950.60

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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.