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Finding the Fourth Proportional to 473,467.95, 709,734.42 and 188,987.13

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Solution

The fourth proportional to 473,467.95, 709,734.42 and 188,987.13 is: 283,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,467.95 : 709,734.42 = 188,987.13 : x
  2. Step 2: Convert to fraction form
    473,467.95/709,734.42 = 188,987.13/x
  3. Step 3: Cross multiply
    473,467.95x = 709,734.42 × 188,987.13
  4. Step 4: Simplify right side
    473,467.95x = 134,130,671,098.02
  5. Step 5: Solve for x
    x = 134,130,671,098.02/473,467.95
  6. Step 6: Final answer
    x = 283,294.09

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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.