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Finding the Fourth Proportional to 366,828.84, 506,221.86 and 205,683.72

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Solution

The fourth proportional to 366,828.84, 506,221.86 and 205,683.72 is: 283,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,828.84 : 506,221.86 = 205,683.72 : x
  2. Step 2: Convert to fraction form
    366,828.84/506,221.86 = 205,683.72/x
  3. Step 3: Cross multiply
    366,828.84x = 506,221.86 × 205,683.72
  4. Step 4: Simplify right side
    366,828.84x = 104,121,595,310.12
  5. Step 5: Solve for x
    x = 104,121,595,310.12/366,828.84
  6. Step 6: Final answer
    x = 283,842.45

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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.