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Finding the Fourth Proportional to 298,289.94, 411,645.58 and 164,151.06

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Solution

The fourth proportional to 298,289.94, 411,645.58 and 164,151.06 is: 226,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,289.94 : 411,645.58 = 164,151.06 : x
  2. Step 2: Convert to fraction form
    298,289.94/411,645.58 = 164,151.06/x
  3. Step 3: Cross multiply
    298,289.94x = 411,645.58 × 164,151.06
  4. Step 4: Simplify right side
    298,289.94x = 67,572,058,301.31
  5. Step 5: Solve for x
    x = 67,572,058,301.31/298,289.94
  6. Step 6: Final answer
    x = 226,531.47

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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.