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Finding the Fourth Proportional to 340,684.84, 470,145.06 and 197,528.04

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Solution

The fourth proportional to 340,684.84, 470,145.06 and 197,528.04 is: 272,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,684.84 : 470,145.06 = 197,528.04 : x
  2. Step 2: Convert to fraction form
    340,684.84/470,145.06 = 197,528.04/x
  3. Step 3: Cross multiply
    340,684.84x = 470,145.06 × 197,528.04
  4. Step 4: Simplify right side
    340,684.84x = 92,866,832,217.48
  5. Step 5: Solve for x
    x = 92,866,832,217.48/340,684.84
  6. Step 6: Final answer
    x = 272,588.68

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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.