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Finding the Fourth Proportional to 314,923.40, 472,242.93 and 90,232.43

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Solution

The fourth proportional to 314,923.40, 472,242.93 and 90,232.43 is: 135,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,923.40 : 472,242.93 = 90,232.43 : x
  2. Step 2: Convert to fraction form
    314,923.40/472,242.93 = 90,232.43/x
  3. Step 3: Cross multiply
    314,923.40x = 472,242.93 × 90,232.43
  4. Step 4: Simplify right side
    314,923.40x = 42,611,627,124.22
  5. Step 5: Solve for x
    x = 42,611,627,124.22/314,923.40
  6. Step 6: Final answer
    x = 135,307.91

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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.