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Finding the Fourth Proportional to 473,258.34, 709,888.70 and 188,972.04

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Solution

The fourth proportional to 473,258.34, 709,888.70 and 188,972.04 is: 283,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,258.34 : 709,888.70 = 188,972.04 : x
  2. Step 2: Convert to fraction form
    473,258.34/709,888.70 = 188,972.04/x
  3. Step 3: Cross multiply
    473,258.34x = 709,888.70 × 188,972.04
  4. Step 4: Simplify right side
    473,258.34x = 134,149,114,867.09
  5. Step 5: Solve for x
    x = 134,149,114,867.09/473,258.34
  6. Step 6: Final answer
    x = 283,458.53

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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.