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Finding the Fourth Proportional to 298,120.04, 411,412.10 and 163,984.04

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Solution

The fourth proportional to 298,120.04, 411,412.10 and 163,984.04 is: 226,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,120.04 : 411,412.10 = 163,984.04 : x
  2. Step 2: Convert to fraction form
    298,120.04/411,412.10 = 163,984.04/x
  3. Step 3: Cross multiply
    298,120.04x = 411,412.10 × 163,984.04
  4. Step 4: Simplify right side
    298,120.04x = 67,465,018,262.88
  5. Step 5: Solve for x
    x = 67,465,018,262.88/298,120.04
  6. Step 6: Final answer
    x = 226,301.52

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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.