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Finding the Fourth Proportional to 399,903.66, 600,097.32 and 175,276.98

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Solution

The fourth proportional to 399,903.66, 600,097.32 and 175,276.98 is: 263,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,903.66 : 600,097.32 = 175,276.98 : x
  2. Step 2: Convert to fraction form
    399,903.66/600,097.32 = 175,276.98/x
  3. Step 3: Cross multiply
    399,903.66x = 600,097.32 × 175,276.98
  4. Step 4: Simplify right side
    399,903.66x = 105,183,245,955.69
  5. Step 5: Solve for x
    x = 105,183,245,955.69/399,903.66
  6. Step 6: Final answer
    x = 263,021.46

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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.