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Finding the Fourth Proportional to 492,189.96, 738,376.92 and 338,962.16

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Solution

The fourth proportional to 492,189.96, 738,376.92 and 338,962.16 is: 508,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,189.96 : 738,376.92 = 338,962.16 : x
  2. Step 2: Convert to fraction form
    492,189.96/738,376.92 = 338,962.16/x
  3. Step 3: Cross multiply
    492,189.96x = 738,376.92 × 338,962.16
  4. Step 4: Simplify right side
    492,189.96x = 250,281,835,697.35
  5. Step 5: Solve for x
    x = 250,281,835,697.35/492,189.96
  6. Step 6: Final answer
    x = 508,506.58

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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.