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Finding the Fourth Proportional to 473,282, 710,026.68 and 177,794

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Solution

The fourth proportional to 473,282, 710,026.68 and 177,794 is: 266,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,282 : 710,026.68 = 177,794 : x
  2. Step 2: Convert to fraction form
    473,282/710,026.68 = 177,794/x
  3. Step 3: Cross multiply
    473,282x = 710,026.68 × 177,794
  4. Step 4: Simplify right side
    473,282x = 126,238,483,543.92
  5. Step 5: Solve for x
    x = 126,238,483,543.92/473,282
  6. Step 6: Final answer
    x = 266,729.95

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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.