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Finding the Fourth Proportional to 512,501.76, 707,198.40 and 297,599.52

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Solution

The fourth proportional to 512,501.76, 707,198.40 and 297,599.52 is: 410,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,501.76 : 707,198.40 = 297,599.52 : x
  2. Step 2: Convert to fraction form
    512,501.76/707,198.40 = 297,599.52/x
  3. Step 3: Cross multiply
    512,501.76x = 707,198.40 × 297,599.52
  4. Step 4: Simplify right side
    512,501.76x = 210,461,904,384.77
  5. Step 5: Solve for x
    x = 210,461,904,384.77/512,501.76
  6. Step 6: Final answer
    x = 410,655.96

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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.