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Finding the Fourth Proportional to 294,894, 442,341 and 97,902

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Solution

The fourth proportional to 294,894, 442,341 and 97,902 is: 146,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,894 : 442,341 = 97,902 : x
  2. Step 2: Convert to fraction form
    294,894/442,341 = 97,902/x
  3. Step 3: Cross multiply
    294,894x = 442,341 × 97,902
  4. Step 4: Simplify right side
    294,894x = 43,306,068,582
  5. Step 5: Solve for x
    x = 43,306,068,582/294,894
  6. Step 6: Final answer
    x = 146,853

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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.