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Finding the Fourth Proportional to 357,038.99, 492,714.44 and 195,895.21

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Solution

The fourth proportional to 357,038.99, 492,714.44 and 195,895.21 is: 270,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,038.99 : 492,714.44 = 195,895.21 : x
  2. Step 2: Convert to fraction form
    357,038.99/492,714.44 = 195,895.21/x
  3. Step 3: Cross multiply
    357,038.99x = 492,714.44 × 195,895.21
  4. Step 4: Simplify right side
    357,038.99x = 96,520,399,242.93
  5. Step 5: Solve for x
    x = 96,520,399,242.93/357,038.99
  6. Step 6: Final answer
    x = 270,335.74

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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.