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Finding the Fourth Proportional to 286,365, 429,548.46 and 96,826.89

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Solution

The fourth proportional to 286,365, 429,548.46 and 96,826.89 is: 145,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,365 : 429,548.46 = 96,826.89 : x
  2. Step 2: Convert to fraction form
    286,365/429,548.46 = 96,826.89/x
  3. Step 3: Cross multiply
    286,365x = 429,548.46 × 96,826.89
  4. Step 4: Simplify right side
    286,365x = 41,591,841,486.09
  5. Step 5: Solve for x
    x = 41,591,841,486.09/286,365
  6. Step 6: Final answer
    x = 145,240.66

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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.