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Finding the Fourth Proportional to 406,509.66, 609,796.08 and 122,178.06

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Solution

The fourth proportional to 406,509.66, 609,796.08 and 122,178.06 is: 183,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,509.66 : 609,796.08 = 122,178.06 : x
  2. Step 2: Convert to fraction form
    406,509.66/609,796.08 = 122,178.06/x
  3. Step 3: Cross multiply
    406,509.66x = 609,796.08 × 122,178.06
  4. Step 4: Simplify right side
    406,509.66x = 74,503,702,050.00
  5. Step 5: Solve for x
    x = 74,503,702,050.00/406,509.66
  6. Step 6: Final answer
    x = 183,276.58

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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.