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Finding the Fourth Proportional to 366,876.81, 506,282.10 and 205,728.32

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Solution

The fourth proportional to 366,876.81, 506,282.10 and 205,728.32 is: 283,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,876.81 : 506,282.10 = 205,728.32 : x
  2. Step 2: Convert to fraction form
    366,876.81/506,282.10 = 205,728.32/x
  3. Step 3: Cross multiply
    366,876.81x = 506,282.10 × 205,728.32
  4. Step 4: Simplify right side
    366,876.81x = 104,156,566,373.30
  5. Step 5: Solve for x
    x = 104,156,566,373.30/366,876.81
  6. Step 6: Final answer
    x = 283,900.65

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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.