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Finding the Fourth Proportional to 874,493.76, 1,206,803.76 and 507,042.24

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Solution

The fourth proportional to 874,493.76, 1,206,803.76 and 507,042.24 is: 699,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,493.76 : 1,206,803.76 = 507,042.24 : x
  2. Step 2: Convert to fraction form
    874,493.76/1,206,803.76 = 507,042.24/x
  3. Step 3: Cross multiply
    874,493.76x = 1,206,803.76 × 507,042.24
  4. Step 4: Simplify right side
    874,493.76x = 611,900,481,710.82
  5. Step 5: Solve for x
    x = 611,900,481,710.82/874,493.76
  6. Step 6: Final answer
    x = 699,719.67

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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.