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Finding the Fourth Proportional to 357,536.39, 493,386.93 and 196,381.82

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Solution

The fourth proportional to 357,536.39, 493,386.93 and 196,381.82 is: 270,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,536.39 : 493,386.93 = 196,381.82 : x
  2. Step 2: Convert to fraction form
    357,536.39/493,386.93 = 196,381.82/x
  3. Step 3: Cross multiply
    357,536.39x = 493,386.93 × 196,381.82
  4. Step 4: Simplify right side
    357,536.39x = 96,892,224,511.08
  5. Step 5: Solve for x
    x = 96,892,224,511.08/357,536.39
  6. Step 6: Final answer
    x = 270,999.62

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1.5x scale

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.