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Finding the Fourth Proportional to 477,824.40, 716,233.32 and 240,668.64

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Solution

The fourth proportional to 477,824.40, 716,233.32 and 240,668.64 is: 360,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,824.40 : 716,233.32 = 240,668.64 : x
  2. Step 2: Convert to fraction form
    477,824.40/716,233.32 = 240,668.64/x
  3. Step 3: Cross multiply
    477,824.40x = 716,233.32 × 240,668.64
  4. Step 4: Simplify right side
    477,824.40x = 172,374,899,047.09
  5. Step 5: Solve for x
    x = 172,374,899,047.09/477,824.40
  6. Step 6: Final answer
    x = 360,749.47

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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.