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Finding the Fourth Proportional to 433,730.65, 650,782.05 and 167,678.02

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Solution

The fourth proportional to 433,730.65, 650,782.05 and 167,678.02 is: 251,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,730.65 : 650,782.05 = 167,678.02 : x
  2. Step 2: Convert to fraction form
    433,730.65/650,782.05 = 167,678.02/x
  3. Step 3: Cross multiply
    433,730.65x = 650,782.05 × 167,678.02
  4. Step 4: Simplify right side
    433,730.65x = 109,121,845,595.54
  5. Step 5: Solve for x
    x = 109,121,845,595.54/433,730.65
  6. Step 6: Final answer
    x = 251,588.97

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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.