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Finding the Fourth Proportional to 357,897.74, 493,878.06 and 196,752.76

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Solution

The fourth proportional to 357,897.74, 493,878.06 and 196,752.76 is: 271,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,897.74 : 493,878.06 = 196,752.76 : x
  2. Step 2: Convert to fraction form
    357,897.74/493,878.06 = 196,752.76/x
  3. Step 3: Cross multiply
    357,897.74x = 493,878.06 × 196,752.76
  4. Step 4: Simplify right side
    357,897.74x = 97,171,871,408.45
  5. Step 5: Solve for x
    x = 97,171,871,408.45/357,897.74
  6. Step 6: Final answer
    x = 271,507.36

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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.