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Finding the Fourth Proportional to 304,632.23, 420,483.58 and 197,209.51

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Solution

The fourth proportional to 304,632.23, 420,483.58 and 197,209.51 is: 272,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,632.23 : 420,483.58 = 197,209.51 : x
  2. Step 2: Convert to fraction form
    304,632.23/420,483.58 = 197,209.51/x
  3. Step 3: Cross multiply
    304,632.23x = 420,483.58 × 197,209.51
  4. Step 4: Simplify right side
    304,632.23x = 82,923,359,230.61
  5. Step 5: Solve for x
    x = 82,923,359,230.61/304,632.23
  6. Step 6: Final answer
    x = 272,208.10

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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.