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Finding the Fourth Proportional to 410,465.25, 615,192.44 and 291,492.45

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Solution

The fourth proportional to 410,465.25, 615,192.44 and 291,492.45 is: 436,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,465.25 : 615,192.44 = 291,492.45 : x
  2. Step 2: Convert to fraction form
    410,465.25/615,192.44 = 291,492.45/x
  3. Step 3: Cross multiply
    410,465.25x = 615,192.44 × 291,492.45
  4. Step 4: Simplify right side
    410,465.25x = 179,323,950,099.62
  5. Step 5: Solve for x
    x = 179,323,950,099.62/410,465.25
  6. Step 6: Final answer
    x = 436,879.74

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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.