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Finding the Fourth Proportional to 478,655.92, 718,069.27 and 158,827

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Solution

The fourth proportional to 478,655.92, 718,069.27 and 158,827 is: 238,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,655.92 : 718,069.27 = 158,827 : x
  2. Step 2: Convert to fraction form
    478,655.92/718,069.27 = 158,827/x
  3. Step 3: Cross multiply
    478,655.92x = 718,069.27 × 158,827
  4. Step 4: Simplify right side
    478,655.92x = 114,048,787,946.29
  5. Step 5: Solve for x
    x = 114,048,787,946.29/478,655.92
  6. Step 6: Final answer
    x = 238,268.83

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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.