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Finding the Fourth Proportional to 473,219.56, 653,118 and 300,957.94

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Solution

The fourth proportional to 473,219.56, 653,118 and 300,957.94 is: 415,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,219.56 : 653,118 = 300,957.94 : x
  2. Step 2: Convert to fraction form
    473,219.56/653,118 = 300,957.94/x
  3. Step 3: Cross multiply
    473,219.56x = 653,118 × 300,957.94
  4. Step 4: Simplify right side
    473,219.56x = 196,561,047,856.92
  5. Step 5: Solve for x
    x = 196,561,047,856.92/473,219.56
  6. Step 6: Final answer
    x = 415,369.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.