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Finding the Fourth Proportional to 470,844.86, 706,413.08 and 163,123.02

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Solution

The fourth proportional to 470,844.86, 706,413.08 and 163,123.02 is: 244,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,844.86 : 706,413.08 = 163,123.02 : x
  2. Step 2: Convert to fraction form
    470,844.86/706,413.08 = 163,123.02/x
  3. Step 3: Cross multiply
    470,844.86x = 706,413.08 × 163,123.02
  4. Step 4: Simplify right side
    470,844.86x = 115,232,235,384.91
  5. Step 5: Solve for x
    x = 115,232,235,384.91/470,844.86
  6. Step 6: Final answer
    x = 244,735.04

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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.