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Finding the Fourth Proportional to 287,186.33, 430,779.40 and 76,818.80

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Solution

The fourth proportional to 287,186.33, 430,779.40 and 76,818.80 is: 115,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,186.33 : 430,779.40 = 76,818.80 : x
  2. Step 2: Convert to fraction form
    287,186.33/430,779.40 = 76,818.80/x
  3. Step 3: Cross multiply
    287,186.33x = 430,779.40 × 76,818.80
  4. Step 4: Simplify right side
    287,186.33x = 33,091,957,457.62
  5. Step 5: Solve for x
    x = 33,091,957,457.62/287,186.33
  6. Step 6: Final answer
    x = 115,228.18

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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.