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Finding the Fourth Proportional to 297,004, 444,390 and 208,430.32

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Solution

The fourth proportional to 297,004, 444,390 and 208,430.32 is: 311,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,004 : 444,390 = 208,430.32 : x
  2. Step 2: Convert to fraction form
    297,004/444,390 = 208,430.32/x
  3. Step 3: Cross multiply
    297,004x = 444,390 × 208,430.32
  4. Step 4: Simplify right side
    297,004x = 92,624,349,904.80
  5. Step 5: Solve for x
    x = 92,624,349,904.80/297,004
  6. Step 6: Final answer
    x = 311,862.30

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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.