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Finding the Fourth Proportional to 360,399.24, 497,357.01 and 209,496.24

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Solution

The fourth proportional to 360,399.24, 497,357.01 and 209,496.24 is: 289,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,399.24 : 497,357.01 = 209,496.24 : x
  2. Step 2: Convert to fraction form
    360,399.24/497,357.01 = 209,496.24/x
  3. Step 3: Cross multiply
    360,399.24x = 497,357.01 × 209,496.24
  4. Step 4: Simplify right side
    360,399.24x = 104,194,423,532.64
  5. Step 5: Solve for x
    x = 104,194,423,532.64/360,399.24
  6. Step 6: Final answer
    x = 289,108.33

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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.