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Finding the Fourth Proportional to 314,002.08, 470,846.16 and 134,058.96

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Solution

The fourth proportional to 314,002.08, 470,846.16 and 134,058.96 is: 201,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,002.08 : 470,846.16 = 134,058.96 : x
  2. Step 2: Convert to fraction form
    314,002.08/470,846.16 = 134,058.96/x
  3. Step 3: Cross multiply
    314,002.08x = 470,846.16 × 134,058.96
  4. Step 4: Simplify right side
    314,002.08x = 63,121,146,529.59
  5. Step 5: Solve for x
    x = 63,121,146,529.59/314,002.08
  6. Step 6: Final answer
    x = 201,021.43

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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.