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Finding the Fourth Proportional to 433,486.65, 650,068.59 and 149,097.36

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Solution

The fourth proportional to 433,486.65, 650,068.59 and 149,097.36 is: 223,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,486.65 : 650,068.59 = 149,097.36 : x
  2. Step 2: Convert to fraction form
    433,486.65/650,068.59 = 149,097.36/x
  3. Step 3: Cross multiply
    433,486.65x = 650,068.59 × 149,097.36
  4. Step 4: Simplify right side
    433,486.65x = 96,923,510,587.92
  5. Step 5: Solve for x
    x = 96,923,510,587.92/433,486.65
  6. Step 6: Final answer
    x = 223,590.53

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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.