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Finding the Fourth Proportional to 307,063.47, 460,853.99 and 129,697.77

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Solution

The fourth proportional to 307,063.47, 460,853.99 and 129,697.77 is: 194,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,063.47 : 460,853.99 = 129,697.77 : x
  2. Step 2: Convert to fraction form
    307,063.47/460,853.99 = 129,697.77/x
  3. Step 3: Cross multiply
    307,063.47x = 460,853.99 × 129,697.77
  4. Step 4: Simplify right side
    307,063.47x = 59,771,734,798.60
  5. Step 5: Solve for x
    x = 59,771,734,798.60/307,063.47
  6. Step 6: Final answer
    x = 194,655.96

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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.