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Finding the Fourth Proportional to 523,896.40, 784,807.80 and 312,907.60

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Solution

The fourth proportional to 523,896.40, 784,807.80 and 312,907.60 is: 468,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,896.40 : 784,807.80 = 312,907.60 : x
  2. Step 2: Convert to fraction form
    523,896.40/784,807.80 = 312,907.60/x
  3. Step 3: Cross multiply
    523,896.40x = 784,807.80 × 312,907.60
  4. Step 4: Simplify right side
    523,896.40x = 245,572,325,159.28
  5. Step 5: Solve for x
    x = 245,572,325,159.28/523,896.40
  6. Step 6: Final answer
    x = 468,742.15

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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.