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Finding the Fourth Proportional to 354,598.56, 531,985.44 and 105,280.32

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Solution

The fourth proportional to 354,598.56, 531,985.44 and 105,280.32 is: 157,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,598.56 : 531,985.44 = 105,280.32 : x
  2. Step 2: Convert to fraction form
    354,598.56/531,985.44 = 105,280.32/x
  3. Step 3: Cross multiply
    354,598.56x = 531,985.44 × 105,280.32
  4. Step 4: Simplify right side
    354,598.56x = 56,007,597,358.54
  5. Step 5: Solve for x
    x = 56,007,597,358.54/354,598.56
  6. Step 6: Final answer
    x = 157,946.49

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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.