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Finding the Fourth Proportional to 477,447.56, 716,160.93 and 224,587.89

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Solution

The fourth proportional to 477,447.56, 716,160.93 and 224,587.89 is: 336,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,447.56 : 716,160.93 = 224,587.89 : x
  2. Step 2: Convert to fraction form
    477,447.56/716,160.93 = 224,587.89/x
  3. Step 3: Cross multiply
    477,447.56x = 716,160.93 × 224,587.89
  4. Step 4: Simplify right side
    477,447.56x = 160,841,072,169.14
  5. Step 5: Solve for x
    x = 160,841,072,169.14/477,447.56
  6. Step 6: Final answer
    x = 336,876.94

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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.