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Finding the Fourth Proportional to 522,840.24, 784,025.64 and 148,774.32

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Solution

The fourth proportional to 522,840.24, 784,025.64 and 148,774.32 is: 223,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,840.24 : 784,025.64 = 148,774.32 : x
  2. Step 2: Convert to fraction form
    522,840.24/784,025.64 = 148,774.32/x
  3. Step 3: Cross multiply
    522,840.24x = 784,025.64 × 148,774.32
  4. Step 4: Simplify right side
    522,840.24x = 116,642,881,453.57
  5. Step 5: Solve for x
    x = 116,642,881,453.57/522,840.24
  6. Step 6: Final answer
    x = 223,094.69

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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.