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Finding the Fourth Proportional to 509,258.30, 702,837.54 and 305,421.36

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Solution

The fourth proportional to 509,258.30, 702,837.54 and 305,421.36 is: 421,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,258.30 : 702,837.54 = 305,421.36 : x
  2. Step 2: Convert to fraction form
    509,258.30/702,837.54 = 305,421.36/x
  3. Step 3: Cross multiply
    509,258.30x = 702,837.54 × 305,421.36
  4. Step 4: Simplify right side
    509,258.30x = 214,661,597,325.85
  5. Step 5: Solve for x
    x = 214,661,597,325.85/509,258.30
  6. Step 6: Final answer
    x = 421,518.11

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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.