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Finding the Fourth Proportional to 328,031.30, 492,046.95 and 106,415.30

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Solution

The fourth proportional to 328,031.30, 492,046.95 and 106,415.30 is: 159,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,031.30 : 492,046.95 = 106,415.30 : x
  2. Step 2: Convert to fraction form
    328,031.30/492,046.95 = 106,415.30/x
  3. Step 3: Cross multiply
    328,031.30x = 492,046.95 × 106,415.30
  4. Step 4: Simplify right side
    328,031.30x = 52,361,323,798.34
  5. Step 5: Solve for x
    x = 52,361,323,798.34/328,031.30
  6. Step 6: Final answer
    x = 159,622.95

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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.