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Finding the Fourth Proportional to 334,416.38, 461,507.91 and 183,518.78

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Solution

The fourth proportional to 334,416.38, 461,507.91 and 183,518.78 is: 253,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,416.38 : 461,507.91 = 183,518.78 : x
  2. Step 2: Convert to fraction form
    334,416.38/461,507.91 = 183,518.78/x
  3. Step 3: Cross multiply
    334,416.38x = 461,507.91 × 183,518.78
  4. Step 4: Simplify right side
    334,416.38x = 84,695,368,603.55
  5. Step 5: Solve for x
    x = 84,695,368,603.55/334,416.38
  6. Step 6: Final answer
    x = 253,263.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.