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Finding the Fourth Proportional to 475,311.64, 713,011.44 and 155,465.32

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Solution

The fourth proportional to 475,311.64, 713,011.44 and 155,465.32 is: 233,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,311.64 : 713,011.44 = 155,465.32 : x
  2. Step 2: Convert to fraction form
    475,311.64/713,011.44 = 155,465.32/x
  3. Step 3: Cross multiply
    475,311.64x = 713,011.44 × 155,465.32
  4. Step 4: Simplify right side
    475,311.64x = 110,848,551,683.26
  5. Step 5: Solve for x
    x = 110,848,551,683.26/475,311.64
  6. Step 6: Final answer
    x = 233,212.37

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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.