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Finding the Fourth Proportional to 477,723.32, 716,695.69 and 162,180.22

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Solution

The fourth proportional to 477,723.32, 716,695.69 and 162,180.22 is: 243,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,723.32 : 716,695.69 = 162,180.22 : x
  2. Step 2: Convert to fraction form
    477,723.32/716,695.69 = 162,180.22/x
  3. Step 3: Cross multiply
    477,723.32x = 716,695.69 × 162,180.22
  4. Step 4: Simplify right side
    477,723.32x = 116,233,863,866.35
  5. Step 5: Solve for x
    x = 116,233,863,866.35/477,723.32
  6. Step 6: Final answer
    x = 243,307.92

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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.