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Finding the Fourth Proportional to 398,423.23, 597,810.84 and 208,838.23

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Solution

The fourth proportional to 398,423.23, 597,810.84 and 208,838.23 is: 313,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,423.23 : 597,810.84 = 208,838.23 : x
  2. Step 2: Convert to fraction form
    398,423.23/597,810.84 = 208,838.23/x
  3. Step 3: Cross multiply
    398,423.23x = 597,810.84 × 208,838.23
  4. Step 4: Simplify right side
    398,423.23x = 124,845,754,711.36
  5. Step 5: Solve for x
    x = 124,845,754,711.36/398,423.23
  6. Step 6: Final answer
    x = 313,349.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.