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Finding the Fourth Proportional to 472,064.04, 707,409.18 and 291,764.52

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Solution

The fourth proportional to 472,064.04, 707,409.18 and 291,764.52 is: 437,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,064.04 : 707,409.18 = 291,764.52 : x
  2. Step 2: Convert to fraction form
    472,064.04/707,409.18 = 291,764.52/x
  3. Step 3: Cross multiply
    472,064.04x = 707,409.18 × 291,764.52
  4. Step 4: Simplify right side
    472,064.04x = 206,396,899,846.29
  5. Step 5: Solve for x
    x = 206,396,899,846.29/472,064.04
  6. Step 6: Final answer
    x = 437,222.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.