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Finding the Fourth Proportional to 353,204.10, 529,806.15 and 314,712.90

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Solution

The fourth proportional to 353,204.10, 529,806.15 and 314,712.90 is: 472,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,204.10 : 529,806.15 = 314,712.90 : x
  2. Step 2: Convert to fraction form
    353,204.10/529,806.15 = 314,712.90/x
  3. Step 3: Cross multiply
    353,204.10x = 529,806.15 × 314,712.90
  4. Step 4: Simplify right side
    353,204.10x = 166,736,829,904.34
  5. Step 5: Solve for x
    x = 166,736,829,904.34/353,204.10
  6. Step 6: Final answer
    x = 472,069.35

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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.