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Finding the Fourth Proportional to 475,310.64, 713,009.94 and 155,464.32

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Solution

The fourth proportional to 475,310.64, 713,009.94 and 155,464.32 is: 233,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,310.64 : 713,009.94 = 155,464.32 : x
  2. Step 2: Convert to fraction form
    475,310.64/713,009.94 = 155,464.32/x
  3. Step 3: Cross multiply
    475,310.64x = 713,009.94 × 155,464.32
  4. Step 4: Simplify right side
    475,310.64x = 110,847,605,475.34
  5. Step 5: Solve for x
    x = 110,847,605,475.34/475,310.64
  6. Step 6: Final answer
    x = 233,210.86

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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.