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Finding the Fourth Proportional to 304,225.20, 456,337.80 and 192,032.10

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Solution

The fourth proportional to 304,225.20, 456,337.80 and 192,032.10 is: 288,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,225.20 : 456,337.80 = 192,032.10 : x
  2. Step 2: Convert to fraction form
    304,225.20/456,337.80 = 192,032.10/x
  3. Step 3: Cross multiply
    304,225.20x = 456,337.80 × 192,032.10
  4. Step 4: Simplify right side
    304,225.20x = 87,631,506,043.38
  5. Step 5: Solve for x
    x = 87,631,506,043.38/304,225.20
  6. Step 6: Final answer
    x = 288,048.15

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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.