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Finding the Fourth Proportional to 509,121.50, 702,587.67 and 282,788.06

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Solution

The fourth proportional to 509,121.50, 702,587.67 and 282,788.06 is: 390,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,121.50 : 702,587.67 = 282,788.06 : x
  2. Step 2: Convert to fraction form
    509,121.50/702,587.67 = 282,788.06/x
  3. Step 3: Cross multiply
    509,121.50x = 702,587.67 × 282,788.06
  4. Step 4: Simplify right side
    509,121.50x = 198,683,404,179.22
  5. Step 5: Solve for x
    x = 198,683,404,179.22/509,121.50
  6. Step 6: Final answer
    x = 390,247.52

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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.