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Finding the Fourth Proportional to 382,402.92, 573,461.85 and 112,458.81

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Solution

The fourth proportional to 382,402.92, 573,461.85 and 112,458.81 is: 168,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,402.92 : 573,461.85 = 112,458.81 : x
  2. Step 2: Convert to fraction form
    382,402.92/573,461.85 = 112,458.81/x
  3. Step 3: Cross multiply
    382,402.92x = 573,461.85 × 112,458.81
  4. Step 4: Simplify right side
    382,402.92x = 64,490,837,231.40
  5. Step 5: Solve for x
    x = 64,490,837,231.40/382,402.92
  6. Step 6: Final answer
    x = 168,646.30

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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.