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Finding the Fourth Proportional to 354,533.20, 531,804.42 and 117,875.88

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Solution

The fourth proportional to 354,533.20, 531,804.42 and 117,875.88 is: 176,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,533.20 : 531,804.42 = 117,875.88 : x
  2. Step 2: Convert to fraction form
    354,533.20/531,804.42 = 117,875.88/x
  3. Step 3: Cross multiply
    354,533.20x = 531,804.42 × 117,875.88
  4. Step 4: Simplify right side
    354,533.20x = 62,686,915,242.44
  5. Step 5: Solve for x
    x = 62,686,915,242.44/354,533.20
  6. Step 6: Final answer
    x = 176,815.36

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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.