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Finding the Fourth Proportional to 512,359.02, 707,205.60 and 297,595.62

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Solution

The fourth proportional to 512,359.02, 707,205.60 and 297,595.62 is: 410,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,359.02 : 707,205.60 = 297,595.62 : x
  2. Step 2: Convert to fraction form
    512,359.02/707,205.60 = 297,595.62/x
  3. Step 3: Cross multiply
    512,359.02x = 707,205.60 × 297,595.62
  4. Step 4: Simplify right side
    512,359.02x = 210,461,288,999.47
  5. Step 5: Solve for x
    x = 210,461,288,999.47/512,359.02
  6. Step 6: Final answer
    x = 410,769.17

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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.