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Finding the Fourth Proportional to 645,779.19, 968,705.22 and 196,514.70

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Solution

The fourth proportional to 645,779.19, 968,705.22 and 196,514.70 is: 294,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,779.19 : 968,705.22 = 196,514.70 : x
  2. Step 2: Convert to fraction form
    645,779.19/968,705.22 = 196,514.70/x
  3. Step 3: Cross multiply
    645,779.19x = 968,705.22 × 196,514.70
  4. Step 4: Simplify right side
    645,779.19x = 190,364,815,696.73
  5. Step 5: Solve for x
    x = 190,364,815,696.73/645,779.19
  6. Step 6: Final answer
    x = 294,783.14

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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.