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Finding the Fourth Proportional to 532,046.58, 734,221.34 and 290,328.42

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Solution

The fourth proportional to 532,046.58, 734,221.34 and 290,328.42 is: 400,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,046.58 : 734,221.34 = 290,328.42 : x
  2. Step 2: Convert to fraction form
    532,046.58/734,221.34 = 290,328.42/x
  3. Step 3: Cross multiply
    532,046.58x = 734,221.34 × 290,328.42
  4. Step 4: Simplify right side
    532,046.58x = 213,165,321,572.48
  5. Step 5: Solve for x
    x = 213,165,321,572.48/532,046.58
  6. Step 6: Final answer
    x = 400,651.62

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Double scale
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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.