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Finding the Fourth Proportional to 410,783.60, 616,175.40 and 189,167.60

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Solution

The fourth proportional to 410,783.60, 616,175.40 and 189,167.60 is: 283,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,783.60 : 616,175.40 = 189,167.60 : x
  2. Step 2: Convert to fraction form
    410,783.60/616,175.40 = 189,167.60/x
  3. Step 3: Cross multiply
    410,783.60x = 616,175.40 × 189,167.60
  4. Step 4: Simplify right side
    410,783.60x = 116,560,421,597.04
  5. Step 5: Solve for x
    x = 116,560,421,597.04/410,783.60
  6. Step 6: Final answer
    x = 283,751.40

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1.5x scale

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.