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Finding the Fourth Proportional to 474,657.80, 710,604.30 and 460,833.80

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Solution

The fourth proportional to 474,657.80, 710,604.30 and 460,833.80 is: 689,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,657.80 : 710,604.30 = 460,833.80 : x
  2. Step 2: Convert to fraction form
    474,657.80/710,604.30 = 460,833.80/x
  3. Step 3: Cross multiply
    474,657.80x = 710,604.30 × 460,833.80
  4. Step 4: Simplify right side
    474,657.80x = 327,470,479,865.34
  5. Step 5: Solve for x
    x = 327,470,479,865.34/474,657.80
  6. Step 6: Final answer
    x = 689,908.56

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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.