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Finding the Fourth Proportional to 302,779.98, 417,836.76 and 164,958.22

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Solution

The fourth proportional to 302,779.98, 417,836.76 and 164,958.22 is: 227,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,779.98 : 417,836.76 = 164,958.22 : x
  2. Step 2: Convert to fraction form
    302,779.98/417,836.76 = 164,958.22/x
  3. Step 3: Cross multiply
    302,779.98x = 417,836.76 × 164,958.22
  4. Step 4: Simplify right side
    302,779.98x = 68,925,608,180.17
  5. Step 5: Solve for x
    x = 68,925,608,180.17/302,779.98
  6. Step 6: Final answer
    x = 227,642.55

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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.