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Finding the Fourth Proportional to 602,289.47, 831,310.59 and 409,024.28

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Solution

The fourth proportional to 602,289.47, 831,310.59 and 409,024.28 is: 564,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,289.47 : 831,310.59 = 409,024.28 : x
  2. Step 2: Convert to fraction form
    602,289.47/831,310.59 = 409,024.28/x
  3. Step 3: Cross multiply
    602,289.47x = 831,310.59 × 409,024.28
  4. Step 4: Simplify right side
    602,289.47x = 340,026,219,143.24
  5. Step 5: Solve for x
    x = 340,026,219,143.24/602,289.47
  6. Step 6: Final answer
    x = 564,556.14

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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.