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Finding the Fourth Proportional to 302,476.74, 417,403.53 and 166,507.86

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Solution

The fourth proportional to 302,476.74, 417,403.53 and 166,507.86 is: 229,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,476.74 : 417,403.53 = 166,507.86 : x
  2. Step 2: Convert to fraction form
    302,476.74/417,403.53 = 166,507.86/x
  3. Step 3: Cross multiply
    302,476.74x = 417,403.53 × 166,507.86
  4. Step 4: Simplify right side
    302,476.74x = 69,500,968,536.75
  5. Step 5: Solve for x
    x = 69,500,968,536.75/302,476.74
  6. Step 6: Final answer
    x = 229,772.94

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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.