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Finding the Fourth Proportional to 493,807.04, 740,557.76 and 178,224

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Solution

The fourth proportional to 493,807.04, 740,557.76 and 178,224 is: 267,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,807.04 : 740,557.76 = 178,224 : x
  2. Step 2: Convert to fraction form
    493,807.04/740,557.76 = 178,224/x
  3. Step 3: Cross multiply
    493,807.04x = 740,557.76 × 178,224
  4. Step 4: Simplify right side
    493,807.04x = 131,985,166,218.24
  5. Step 5: Solve for x
    x = 131,985,166,218.24/493,807.04
  6. Step 6: Final answer
    x = 267,280.85

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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.