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Finding the Fourth Proportional to 301,013.76, 415,417.68 and 166,877.76

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Solution

The fourth proportional to 301,013.76, 415,417.68 and 166,877.76 is: 230,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,013.76 : 415,417.68 = 166,877.76 : x
  2. Step 2: Convert to fraction form
    301,013.76/415,417.68 = 166,877.76/x
  3. Step 3: Cross multiply
    301,013.76x = 415,417.68 × 166,877.76
  4. Step 4: Simplify right side
    301,013.76x = 69,323,971,902.80
  5. Step 5: Solve for x
    x = 69,323,971,902.80/301,013.76
  6. Step 6: Final answer
    x = 230,301.67

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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.