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Finding the Fourth Proportional to 328,031.80, 492,047.70 and 106,415.80

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Solution

The fourth proportional to 328,031.80, 492,047.70 and 106,415.80 is: 159,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,031.80 : 492,047.70 = 106,415.80 : x
  2. Step 2: Convert to fraction form
    328,031.80/492,047.70 = 106,415.80/x
  3. Step 3: Cross multiply
    328,031.80x = 492,047.70 × 106,415.80
  4. Step 4: Simplify right side
    328,031.80x = 52,361,649,633.66
  5. Step 5: Solve for x
    x = 52,361,649,633.66/328,031.80
  6. Step 6: Final answer
    x = 159,623.70

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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.