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Finding the Fourth Proportional to 240,409, 360,613.50 and 65,305

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Solution

The fourth proportional to 240,409, 360,613.50 and 65,305 is: 97,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,409 : 360,613.50 = 65,305 : x
  2. Step 2: Convert to fraction form
    240,409/360,613.50 = 65,305/x
  3. Step 3: Cross multiply
    240,409x = 360,613.50 × 65,305
  4. Step 4: Simplify right side
    240,409x = 23,549,864,617.50
  5. Step 5: Solve for x
    x = 23,549,864,617.50/240,409
  6. Step 6: Final answer
    x = 97,957.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.