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Finding the Fourth Proportional to 413,268.22, 620,005.29 and 117,780.22

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Solution

The fourth proportional to 413,268.22, 620,005.29 and 117,780.22 is: 176,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,268.22 : 620,005.29 = 117,780.22 : x
  2. Step 2: Convert to fraction form
    413,268.22/620,005.29 = 117,780.22/x
  3. Step 3: Cross multiply
    413,268.22x = 620,005.29 × 117,780.22
  4. Step 4: Simplify right side
    413,268.22x = 73,024,359,457.36
  5. Step 5: Solve for x
    x = 73,024,359,457.36/413,268.22
  6. Step 6: Final answer
    x = 176,699.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.