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Finding the Fourth Proportional to 319,232.08, 478,235.16 and 178,564.24

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Solution

The fourth proportional to 319,232.08, 478,235.16 and 178,564.24 is: 267,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,232.08 : 478,235.16 = 178,564.24 : x
  2. Step 2: Convert to fraction form
    319,232.08/478,235.16 = 178,564.24/x
  3. Step 3: Cross multiply
    319,232.08x = 478,235.16 × 178,564.24
  4. Step 4: Simplify right side
    319,232.08x = 85,395,697,886.68
  5. Step 5: Solve for x
    x = 85,395,697,886.68/319,232.08
  6. Step 6: Final answer
    x = 267,503.50

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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.