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Finding the Fourth Proportional to 286,552.48, 429,390.96 and 120,249.76

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Solution

The fourth proportional to 286,552.48, 429,390.96 and 120,249.76 is: 180,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,552.48 : 429,390.96 = 120,249.76 : x
  2. Step 2: Convert to fraction form
    286,552.48/429,390.96 = 120,249.76/x
  3. Step 3: Cross multiply
    286,552.48x = 429,390.96 × 120,249.76
  4. Step 4: Simplify right side
    286,552.48x = 51,634,159,886.17
  5. Step 5: Solve for x
    x = 51,634,159,886.17/286,552.48
  6. Step 6: Final answer
    x = 180,190.94

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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.