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Finding the Fourth Proportional to 399,807.47, 599,342.15 and 199,953.95

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Solution

The fourth proportional to 399,807.47, 599,342.15 and 199,953.95 is: 299,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,807.47 : 599,342.15 = 199,953.95 : x
  2. Step 2: Convert to fraction form
    399,807.47/599,342.15 = 199,953.95/x
  3. Step 3: Cross multiply
    399,807.47x = 599,342.15 × 199,953.95
  4. Step 4: Simplify right side
    399,807.47x = 119,840,827,297.28
  5. Step 5: Solve for x
    x = 119,840,827,297.28/399,807.47
  6. Step 6: Final answer
    x = 299,746.34

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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.