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Finding the Fourth Proportional to 473,157.32, 709,847.84 and 153,308.66

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Solution

The fourth proportional to 473,157.32, 709,847.84 and 153,308.66 is: 229,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,157.32 : 709,847.84 = 153,308.66 : x
  2. Step 2: Convert to fraction form
    473,157.32/709,847.84 = 153,308.66/x
  3. Step 3: Cross multiply
    473,157.32x = 709,847.84 × 153,308.66
  4. Step 4: Simplify right side
    473,157.32x = 108,825,817,988.33
  5. Step 5: Solve for x
    x = 108,825,817,988.33/473,157.32
  6. Step 6: Final answer
    x = 229,999.23

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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.