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Finding the Fourth Proportional to 473,739.80, 710,721.23 and 153,890.64

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Solution

The fourth proportional to 473,739.80, 710,721.23 and 153,890.64 is: 230,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,739.80 : 710,721.23 = 153,890.64 : x
  2. Step 2: Convert to fraction form
    473,739.80/710,721.23 = 153,890.64/x
  3. Step 3: Cross multiply
    473,739.80x = 710,721.23 × 153,890.64
  4. Step 4: Simplify right side
    473,739.80x = 109,373,344,176.83
  5. Step 5: Solve for x
    x = 109,373,344,176.83/473,739.80
  6. Step 6: Final answer
    x = 230,872.19

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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.