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Finding the Fourth Proportional to 488,368.90, 731,970.15 and 204,058.90

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Solution

The fourth proportional to 488,368.90, 731,970.15 and 204,058.90 is: 305,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,368.90 : 731,970.15 = 204,058.90 : x
  2. Step 2: Convert to fraction form
    488,368.90/731,970.15 = 204,058.90/x
  3. Step 3: Cross multiply
    488,368.90x = 731,970.15 × 204,058.90
  4. Step 4: Simplify right side
    488,368.90x = 149,365,023,641.84
  5. Step 5: Solve for x
    x = 149,365,023,641.84/488,368.90
  6. Step 6: Final answer
    x = 305,844.67

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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.