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Finding the Fourth Proportional to 477,892.80, 716,904.48 and 162,264.96

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Solution

The fourth proportional to 477,892.80, 716,904.48 and 162,264.96 is: 243,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,892.80 : 716,904.48 = 162,264.96 : x
  2. Step 2: Convert to fraction form
    477,892.80/716,904.48 = 162,264.96/x
  3. Step 3: Cross multiply
    477,892.80x = 716,904.48 × 162,264.96
  4. Step 4: Simplify right side
    477,892.80x = 116,328,476,771.02
  5. Step 5: Solve for x
    x = 116,328,476,771.02/477,892.80
  6. Step 6: Final answer
    x = 243,419.61

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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.