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Finding the Fourth Proportional to 357,904.32, 493,908.35 and 196,762.11

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Solution

The fourth proportional to 357,904.32, 493,908.35 and 196,762.11 is: 271,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,904.32 : 493,908.35 = 196,762.11 : x
  2. Step 2: Convert to fraction form
    357,904.32/493,908.35 = 196,762.11/x
  3. Step 3: Cross multiply
    357,904.32x = 493,908.35 × 196,762.11
  4. Step 4: Simplify right side
    357,904.32x = 97,182,448,108.81
  5. Step 5: Solve for x
    x = 97,182,448,108.81/357,904.32
  6. Step 6: Final answer
    x = 271,531.92

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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.