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Finding the Fourth Proportional to 314,911.78, 472,225.50 and 90,220.76

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Solution

The fourth proportional to 314,911.78, 472,225.50 and 90,220.76 is: 135,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,911.78 : 472,225.50 = 90,220.76 : x
  2. Step 2: Convert to fraction form
    314,911.78/472,225.50 = 90,220.76/x
  3. Step 3: Cross multiply
    314,911.78x = 472,225.50 × 90,220.76
  4. Step 4: Simplify right side
    314,911.78x = 42,604,543,501.38
  5. Step 5: Solve for x
    x = 42,604,543,501.38/314,911.78
  6. Step 6: Final answer
    x = 135,290.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.