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Finding the Fourth Proportional to 368,574.88, 508,630.16 and 209,598.88

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Solution

The fourth proportional to 368,574.88, 508,630.16 and 209,598.88 is: 289,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,574.88 : 508,630.16 = 209,598.88 : x
  2. Step 2: Convert to fraction form
    368,574.88/508,630.16 = 209,598.88/x
  3. Step 3: Cross multiply
    368,574.88x = 508,630.16 × 209,598.88
  4. Step 4: Simplify right side
    368,574.88x = 106,608,311,870.22
  5. Step 5: Solve for x
    x = 106,608,311,870.22/368,574.88
  6. Step 6: Final answer
    x = 289,244.65

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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.