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Finding the Fourth Proportional to 366,926.12, 506,358.98 and 214,069.40

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Solution

The fourth proportional to 366,926.12, 506,358.98 and 214,069.40 is: 295,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,926.12 : 506,358.98 = 214,069.40 : x
  2. Step 2: Convert to fraction form
    366,926.12/506,358.98 = 214,069.40/x
  3. Step 3: Cross multiply
    366,926.12x = 506,358.98 × 214,069.40
  4. Step 4: Simplify right side
    366,926.12x = 108,395,963,033.21
  5. Step 5: Solve for x
    x = 108,395,963,033.21/366,926.12
  6. Step 6: Final answer
    x = 295,416.32

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