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Finding the Fourth Proportional to 298,009.20, 447,013.80 and 120,424.80

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Solution

The fourth proportional to 298,009.20, 447,013.80 and 120,424.80 is: 180,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,009.20 : 447,013.80 = 120,424.80 : x
  2. Step 2: Convert to fraction form
    298,009.20/447,013.80 = 120,424.80/x
  3. Step 3: Cross multiply
    298,009.20x = 447,013.80 × 120,424.80
  4. Step 4: Simplify right side
    298,009.20x = 53,831,547,462.24
  5. Step 5: Solve for x
    x = 53,831,547,462.24/298,009.20
  6. Step 6: Final answer
    x = 180,637.20

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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.