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Finding the Fourth Proportional to 509,094.90, 702,528.23 and 305,258.33

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Solution

The fourth proportional to 509,094.90, 702,528.23 and 305,258.33 is: 421,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,094.90 : 702,528.23 = 305,258.33 : x
  2. Step 2: Convert to fraction form
    509,094.90/702,528.23 = 305,258.33/x
  3. Step 3: Cross multiply
    509,094.90x = 702,528.23 × 305,258.33
  4. Step 4: Simplify right side
    509,094.90x = 214,452,589,228.72
  5. Step 5: Solve for x
    x = 214,452,589,228.72/509,094.90
  6. Step 6: Final answer
    x = 421,242.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.