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Finding the Fourth Proportional to 516,015, 712,097.95 and 283,446.52

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Solution

The fourth proportional to 516,015, 712,097.95 and 283,446.52 is: 391,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,015 : 712,097.95 = 283,446.52 : x
  2. Step 2: Convert to fraction form
    516,015/712,097.95 = 283,446.52/x
  3. Step 3: Cross multiply
    516,015x = 712,097.95 × 283,446.52
  4. Step 4: Simplify right side
    516,015x = 201,841,685,826.63
  5. Step 5: Solve for x
    x = 201,841,685,826.63/516,015
  6. Step 6: Final answer
    x = 391,154.69

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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.