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Finding the Fourth Proportional to 357,041.40, 492,722.06 and 195,893.40

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Solution

The fourth proportional to 357,041.40, 492,722.06 and 195,893.40 is: 270,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,041.40 : 492,722.06 = 195,893.40 : x
  2. Step 2: Convert to fraction form
    357,041.40/492,722.06 = 195,893.40/x
  3. Step 3: Cross multiply
    357,041.40x = 492,722.06 × 195,893.40
  4. Step 4: Simplify right side
    357,041.40x = 96,520,999,588.40
  5. Step 5: Solve for x
    x = 96,520,999,588.40/357,041.40
  6. Step 6: Final answer
    x = 270,335.60

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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.