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Finding the Fourth Proportional to 357,862.68, 493,856.64 and 196,724.52

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Solution

The fourth proportional to 357,862.68, 493,856.64 and 196,724.52 is: 271,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,862.68 : 493,856.64 = 196,724.52 : x
  2. Step 2: Convert to fraction form
    357,862.68/493,856.64 = 196,724.52/x
  3. Step 3: Cross multiply
    357,862.68x = 493,856.64 × 196,724.52
  4. Step 4: Simplify right side
    357,862.68x = 97,153,710,452.81
  5. Step 5: Solve for x
    x = 97,153,710,452.81/357,862.68
  6. Step 6: Final answer
    x = 271,483.21

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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.