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Finding the Fourth Proportional to 331,506, 497,406.56 and 173,697.57

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Solution

The fourth proportional to 331,506, 497,406.56 and 173,697.57 is: 260,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,506 : 497,406.56 = 173,697.57 : x
  2. Step 2: Convert to fraction form
    331,506/497,406.56 = 173,697.57/x
  3. Step 3: Cross multiply
    331,506x = 497,406.56 × 173,697.57
  4. Step 4: Simplify right side
    331,506x = 86,398,309,905.57
  5. Step 5: Solve for x
    x = 86,398,309,905.57/331,506
  6. Step 6: Final answer
    x = 260,623.67

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1.5x scale

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.