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Finding the Fourth Proportional to 357,097.51, 492,794.28 and 195,962.69

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Solution

The fourth proportional to 357,097.51, 492,794.28 and 195,962.69 is: 270,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,097.51 : 492,794.28 = 195,962.69 : x
  2. Step 2: Convert to fraction form
    357,097.51/492,794.28 = 195,962.69/x
  3. Step 3: Cross multiply
    357,097.51x = 492,794.28 × 195,962.69
  4. Step 4: Simplify right side
    357,097.51x = 96,569,293,957.40
  5. Step 5: Solve for x
    x = 96,569,293,957.40/357,097.51
  6. Step 6: Final answer
    x = 270,428.36

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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.