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Finding the Fourth Proportional to 492,394.68, 738,592.16 and 155,469.40

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Solution

The fourth proportional to 492,394.68, 738,592.16 and 155,469.40 is: 233,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,394.68 : 738,592.16 = 155,469.40 : x
  2. Step 2: Convert to fraction form
    492,394.68/738,592.16 = 155,469.40/x
  3. Step 3: Cross multiply
    492,394.68x = 738,592.16 × 155,469.40
  4. Step 4: Simplify right side
    492,394.68x = 114,828,477,336.08
  5. Step 5: Solve for x
    x = 114,828,477,336.08/492,394.68
  6. Step 6: Final answer
    x = 233,204.14

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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.