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Finding the Fourth Proportional to 353,271.30, 529,906.95 and 314,564.10

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Solution

The fourth proportional to 353,271.30, 529,906.95 and 314,564.10 is: 471,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,271.30 : 529,906.95 = 314,564.10 : x
  2. Step 2: Convert to fraction form
    353,271.30/529,906.95 = 314,564.10/x
  3. Step 3: Cross multiply
    353,271.30x = 529,906.95 × 314,564.10
  4. Step 4: Simplify right side
    353,271.30x = 166,689,702,810.50
  5. Step 5: Solve for x
    x = 166,689,702,810.50/353,271.30
  6. Step 6: Final answer
    x = 471,846.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.