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Finding the Fourth Proportional to 469,531.60, 704,297.40 and 188,904.40

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Solution

The fourth proportional to 469,531.60, 704,297.40 and 188,904.40 is: 283,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,531.60 : 704,297.40 = 188,904.40 : x
  2. Step 2: Convert to fraction form
    469,531.60/704,297.40 = 188,904.40/x
  3. Step 3: Cross multiply
    469,531.60x = 704,297.40 × 188,904.40
  4. Step 4: Simplify right side
    469,531.60x = 133,044,877,768.56
  5. Step 5: Solve for x
    x = 133,044,877,768.56/469,531.60
  6. Step 6: Final answer
    x = 283,356.60

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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.