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Finding the Fourth Proportional to 996,894, 1,495,341 and 296,478

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Solution

The fourth proportional to 996,894, 1,495,341 and 296,478 is: 444,717

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,894 : 1,495,341 = 296,478 : x
  2. Step 2: Convert to fraction form
    996,894/1,495,341 = 296,478/x
  3. Step 3: Cross multiply
    996,894x = 1,495,341 × 296,478
  4. Step 4: Simplify right side
    996,894x = 443,335,708,998
  5. Step 5: Solve for x
    x = 443,335,708,998/996,894
  6. Step 6: Final answer
    x = 444,717

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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.