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Finding the Fourth Proportional to 406,397.44, 609,373.95 and 322,695.28

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Solution

The fourth proportional to 406,397.44, 609,373.95 and 322,695.28 is: 483,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397.44 : 609,373.95 = 322,695.28 : x
  2. Step 2: Convert to fraction form
    406,397.44/609,373.95 = 322,695.28/x
  3. Step 3: Cross multiply
    406,397.44x = 609,373.95 × 322,695.28
  4. Step 4: Simplify right side
    406,397.44x = 196,642,097,419.96
  5. Step 5: Solve for x
    x = 196,642,097,419.96/406,397.44
  6. Step 6: Final answer
    x = 483,866.48

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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.