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Finding the Fourth Proportional to 536,989.14, 805,441.56 and 312,206.28

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Solution

The fourth proportional to 536,989.14, 805,441.56 and 312,206.28 is: 468,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,989.14 : 805,441.56 = 312,206.28 : x
  2. Step 2: Convert to fraction form
    536,989.14/805,441.56 = 312,206.28/x
  3. Step 3: Cross multiply
    536,989.14x = 805,441.56 × 312,206.28
  4. Step 4: Simplify right side
    536,989.14x = 251,463,913,205.00
  5. Step 5: Solve for x
    x = 251,463,913,205.00/536,989.14
  6. Step 6: Final answer
    x = 468,284.91

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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.