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Finding the Fourth Proportional to 301,241, 415,712.58 and 167,130.92

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Solution

The fourth proportional to 301,241, 415,712.58 and 167,130.92 is: 230,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,241 : 415,712.58 = 167,130.92 : x
  2. Step 2: Convert to fraction form
    301,241/415,712.58 = 167,130.92/x
  3. Step 3: Cross multiply
    301,241x = 415,712.58 × 167,130.92
  4. Step 4: Simplify right side
    301,241x = 69,478,425,950.97
  5. Step 5: Solve for x
    x = 69,478,425,950.97/301,241
  6. Step 6: Final answer
    x = 230,640.67

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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.