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Finding the Fourth Proportional to 492,349.98, 738,603.66 and 208,043.22

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Solution

The fourth proportional to 492,349.98, 738,603.66 and 208,043.22 is: 312,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,349.98 : 738,603.66 = 208,043.22 : x
  2. Step 2: Convert to fraction form
    492,349.98/738,603.66 = 208,043.22/x
  3. Step 3: Cross multiply
    492,349.98x = 738,603.66 × 208,043.22
  4. Step 4: Simplify right side
    492,349.98x = 153,661,483,730.19
  5. Step 5: Solve for x
    x = 153,661,483,730.19/492,349.98
  6. Step 6: Final answer
    x = 312,098.08

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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.