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Finding the Fourth Proportional to 478,533.54, 717,803.10 and 123,523.32

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Solution

The fourth proportional to 478,533.54, 717,803.10 and 123,523.32 is: 185,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,533.54 : 717,803.10 = 123,523.32 : x
  2. Step 2: Convert to fraction form
    478,533.54/717,803.10 = 123,523.32/x
  3. Step 3: Cross multiply
    478,533.54x = 717,803.10 × 123,523.32
  4. Step 4: Simplify right side
    478,533.54x = 88,665,422,018.29
  5. Step 5: Solve for x
    x = 88,665,422,018.29/478,533.54
  6. Step 6: Final answer
    x = 185,285.70

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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.