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Finding the Fourth Proportional to 283,783.08, 391,623.32 and 156,463.24

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Solution

The fourth proportional to 283,783.08, 391,623.32 and 156,463.24 is: 215,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,783.08 : 391,623.32 = 156,463.24 : x
  2. Step 2: Convert to fraction form
    283,783.08/391,623.32 = 156,463.24/x
  3. Step 3: Cross multiply
    283,783.08x = 391,623.32 × 156,463.24
  4. Step 4: Simplify right side
    283,783.08x = 61,274,653,506.76
  5. Step 5: Solve for x
    x = 61,274,653,506.76/283,783.08
  6. Step 6: Final answer
    x = 215,920.74

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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.