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Finding the Fourth Proportional to 471,341.02, 707,122.23 and 155,797.90

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Solution

The fourth proportional to 471,341.02, 707,122.23 and 155,797.90 is: 233,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,341.02 : 707,122.23 = 155,797.90 : x
  2. Step 2: Convert to fraction form
    471,341.02/707,122.23 = 155,797.90/x
  3. Step 3: Cross multiply
    471,341.02x = 707,122.23 × 155,797.90
  4. Step 4: Simplify right side
    471,341.02x = 110,168,158,477.32
  5. Step 5: Solve for x
    x = 110,168,158,477.32/471,341.02
  6. Step 6: Final answer
    x = 233,733.44

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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.