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Finding the Fourth Proportional to 283,880.64, 391,757.76 and 156,560.64

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Solution

The fourth proportional to 283,880.64, 391,757.76 and 156,560.64 is: 216,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,880.64 : 391,757.76 = 156,560.64 : x
  2. Step 2: Convert to fraction form
    283,880.64/391,757.76 = 156,560.64/x
  3. Step 3: Cross multiply
    283,880.64x = 391,757.76 × 156,560.64
  4. Step 4: Simplify right side
    283,880.64x = 61,333,845,630.57
  5. Step 5: Solve for x
    x = 61,333,845,630.57/283,880.64
  6. Step 6: Final answer
    x = 216,055.05

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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.