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Finding the Fourth Proportional to 357,831.94, 493,809.33 and 196,700.98

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Solution

The fourth proportional to 357,831.94, 493,809.33 and 196,700.98 is: 271,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,831.94 : 493,809.33 = 196,700.98 : x
  2. Step 2: Convert to fraction form
    357,831.94/493,809.33 = 196,700.98/x
  3. Step 3: Cross multiply
    357,831.94x = 493,809.33 × 196,700.98
  4. Step 4: Simplify right side
    357,831.94x = 97,132,779,144.14
  5. Step 5: Solve for x
    x = 97,132,779,144.14/357,831.94
  6. Step 6: Final answer
    x = 271,448.04

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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.