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Finding the Fourth Proportional to 405,258.80, 607,798.62 and 117,007.82

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Solution

The fourth proportional to 405,258.80, 607,798.62 and 117,007.82 is: 175,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,258.80 : 607,798.62 = 117,007.82 : x
  2. Step 2: Convert to fraction form
    405,258.80/607,798.62 = 117,007.82/x
  3. Step 3: Cross multiply
    405,258.80x = 607,798.62 × 117,007.82
  4. Step 4: Simplify right side
    405,258.80x = 71,117,188,486.22
  5. Step 5: Solve for x
    x = 71,117,188,486.22/405,258.80
  6. Step 6: Final answer
    x = 175,485.86

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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.