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Finding the Fourth Proportional to 473,778.77, 710,590.31 and 170,110.06

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Solution

The fourth proportional to 473,778.77, 710,590.31 and 170,110.06 is: 255,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,778.77 : 710,590.31 = 170,110.06 : x
  2. Step 2: Convert to fraction form
    473,778.77/710,590.31 = 170,110.06/x
  3. Step 3: Cross multiply
    473,778.77x = 710,590.31 × 170,110.06
  4. Step 4: Simplify right side
    473,778.77x = 120,878,560,269.52
  5. Step 5: Solve for x
    x = 120,878,560,269.52/473,778.77
  6. Step 6: Final answer
    x = 255,137.14

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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.