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Finding the Fourth Proportional to 379,187.02, 523,274.88 and 209,417.50

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Solution

The fourth proportional to 379,187.02, 523,274.88 and 209,417.50 is: 288,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,187.02 : 523,274.88 = 209,417.50 : x
  2. Step 2: Convert to fraction form
    379,187.02/523,274.88 = 209,417.50/x
  3. Step 3: Cross multiply
    379,187.02x = 523,274.88 × 209,417.50
  4. Step 4: Simplify right side
    379,187.02x = 109,582,917,182.40
  5. Step 5: Solve for x
    x = 109,582,917,182.40/379,187.02
  6. Step 6: Final answer
    x = 288,994.38

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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.