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Finding the Fourth Proportional to 586,203.14, 879,410.02 and 207,343.46

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Solution

The fourth proportional to 586,203.14, 879,410.02 and 207,343.46 is: 311,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,203.14 : 879,410.02 = 207,343.46 : x
  2. Step 2: Convert to fraction form
    586,203.14/879,410.02 = 207,343.46/x
  3. Step 3: Cross multiply
    586,203.14x = 879,410.02 × 207,343.46
  4. Step 4: Simplify right side
    586,203.14x = 182,339,916,305.47
  5. Step 5: Solve for x
    x = 182,339,916,305.47/586,203.14
  6. Step 6: Final answer
    x = 311,052.44

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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.