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Finding the Fourth Proportional to 696,509.24, 960,775.52 and 437,977

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Solution

The fourth proportional to 696,509.24, 960,775.52 and 437,977 is: 604,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,509.24 : 960,775.52 = 437,977 : x
  2. Step 2: Convert to fraction form
    696,509.24/960,775.52 = 437,977/x
  3. Step 3: Cross multiply
    696,509.24x = 960,775.52 × 437,977
  4. Step 4: Simplify right side
    696,509.24x = 420,797,579,923.04
  5. Step 5: Solve for x
    x = 420,797,579,923.04/696,509.24
  6. Step 6: Final answer
    x = 604,152.19

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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.