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Finding the Fourth Proportional to 357,214.61, 492,962.51 and 196,084.64

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Solution

The fourth proportional to 357,214.61, 492,962.51 and 196,084.64 is: 270,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,214.61 : 492,962.51 = 196,084.64 : x
  2. Step 2: Convert to fraction form
    357,214.61/492,962.51 = 196,084.64/x
  3. Step 3: Cross multiply
    357,214.61x = 492,962.51 × 196,084.64
  4. Step 4: Simplify right side
    357,214.61x = 96,662,374,332.25
  5. Step 5: Solve for x
    x = 96,662,374,332.25/357,214.61
  6. Step 6: Final answer
    x = 270,600.29

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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.