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Finding the Fourth Proportional to 406,495.16, 609,774.32 and 122,163.52

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Solution

The fourth proportional to 406,495.16, 609,774.32 and 122,163.52 is: 183,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,495.16 : 609,774.32 = 122,163.52 : x
  2. Step 2: Convert to fraction form
    406,495.16/609,774.32 = 122,163.52/x
  3. Step 3: Cross multiply
    406,495.16x = 609,774.32 × 122,163.52
  4. Step 4: Simplify right side
    406,495.16x = 74,492,177,336.81
  5. Step 5: Solve for x
    x = 74,492,177,336.81/406,495.16
  6. Step 6: Final answer
    x = 183,254.77

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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.