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Finding the Fourth Proportional to 298,263.74, 411,597.86 and 162,300.38

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Solution

The fourth proportional to 298,263.74, 411,597.86 and 162,300.38 is: 223,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263.74 : 411,597.86 = 162,300.38 : x
  2. Step 2: Convert to fraction form
    298,263.74/411,597.86 = 162,300.38/x
  3. Step 3: Cross multiply
    298,263.74x = 411,597.86 × 162,300.38
  4. Step 4: Simplify right side
    298,263.74x = 66,802,489,085.19
  5. Step 5: Solve for x
    x = 66,802,489,085.19/298,263.74
  6. Step 6: Final answer
    x = 223,971.20

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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.