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Finding the Fourth Proportional to 283,347, 391,009.68 and 156,019.32

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Solution

The fourth proportional to 283,347, 391,009.68 and 156,019.32 is: 215,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,347 : 391,009.68 = 156,019.32 : x
  2. Step 2: Convert to fraction form
    283,347/391,009.68 = 156,019.32/x
  3. Step 3: Cross multiply
    283,347x = 391,009.68 × 156,019.32
  4. Step 4: Simplify right side
    283,347x = 61,005,064,387.02
  5. Step 5: Solve for x
    x = 61,005,064,387.02/283,347
  6. Step 6: Final answer
    x = 215,301.61

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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.