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Finding the Fourth Proportional to 589,625.92, 813,581.76 and 347,890.24

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Solution

The fourth proportional to 589,625.92, 813,581.76 and 347,890.24 is: 480,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,625.92 : 813,581.76 = 347,890.24 : x
  2. Step 2: Convert to fraction form
    589,625.92/813,581.76 = 347,890.24/x
  3. Step 3: Cross multiply
    589,625.92x = 813,581.76 × 347,890.24
  4. Step 4: Simplify right side
    589,625.92x = 283,037,153,746.02
  5. Step 5: Solve for x
    x = 283,037,153,746.02/589,625.92
  6. Step 6: Final answer
    x = 480,028.34

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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.