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Finding the Fourth Proportional to 474,512.58, 711,768.87 and 208,275.40

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Solution

The fourth proportional to 474,512.58, 711,768.87 and 208,275.40 is: 312,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,512.58 : 711,768.87 = 208,275.40 : x
  2. Step 2: Convert to fraction form
    474,512.58/711,768.87 = 208,275.40/x
  3. Step 3: Cross multiply
    474,512.58x = 711,768.87 × 208,275.40
  4. Step 4: Simplify right side
    474,512.58x = 148,243,946,106.80
  5. Step 5: Solve for x
    x = 148,243,946,106.80/474,512.58
  6. Step 6: Final answer
    x = 312,413.10

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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.