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Finding the Fourth Proportional to 283,539.72, 391,283.65 and 154,477.83

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Solution

The fourth proportional to 283,539.72, 391,283.65 and 154,477.83 is: 213,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,539.72 : 391,283.65 = 154,477.83 : x
  2. Step 2: Convert to fraction form
    283,539.72/391,283.65 = 154,477.83/x
  3. Step 3: Cross multiply
    283,539.72x = 391,283.65 × 154,477.83
  4. Step 4: Simplify right side
    283,539.72x = 60,444,649,166.48
  5. Step 5: Solve for x
    x = 60,444,649,166.48/283,539.72
  6. Step 6: Final answer
    x = 213,178.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.