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Finding the Fourth Proportional to 473,711.24, 710,579.82 and 158,156.84

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Solution

The fourth proportional to 473,711.24, 710,579.82 and 158,156.84 is: 237,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,711.24 : 710,579.82 = 158,156.84 : x
  2. Step 2: Convert to fraction form
    473,711.24/710,579.82 = 158,156.84/x
  3. Step 3: Cross multiply
    473,711.24x = 710,579.82 × 158,156.84
  4. Step 4: Simplify right side
    473,711.24x = 112,383,055,346.07
  5. Step 5: Solve for x
    x = 112,383,055,346.07/473,711.24
  6. Step 6: Final answer
    x = 237,239.58

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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.