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Finding the Fourth Proportional to 473,256.88, 709,886.49 and 188,970.57

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Solution

The fourth proportional to 473,256.88, 709,886.49 and 188,970.57 is: 283,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,256.88 : 709,886.49 = 188,970.57 : x
  2. Step 2: Convert to fraction form
    473,256.88/709,886.49 = 188,970.57/x
  3. Step 3: Cross multiply
    473,256.88x = 709,886.49 × 188,970.57
  4. Step 4: Simplify right side
    473,256.88x = 134,147,651,101.17
  5. Step 5: Solve for x
    x = 134,147,651,101.17/473,256.88
  6. Step 6: Final answer
    x = 283,456.32

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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.