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Finding the Fourth Proportional to 512,341.38, 707,028.38 and 297,534.24

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Solution

The fourth proportional to 512,341.38, 707,028.38 and 297,534.24 is: 410,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,341.38 : 707,028.38 = 297,534.24 : x
  2. Step 2: Convert to fraction form
    512,341.38/707,028.38 = 297,534.24/x
  3. Step 3: Cross multiply
    512,341.38x = 707,028.38 × 297,534.24
  4. Step 4: Simplify right side
    512,341.38x = 210,365,151,701.73
  5. Step 5: Solve for x
    x = 210,365,151,701.73/512,341.38
  6. Step 6: Final answer
    x = 410,595.67

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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.