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Finding the Fourth Proportional to 477,147.81, 715,722 and 224,242.74

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Solution

The fourth proportional to 477,147.81, 715,722 and 224,242.74 is: 336,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,147.81 : 715,722 = 224,242.74 : x
  2. Step 2: Convert to fraction form
    477,147.81/715,722 = 224,242.74/x
  3. Step 3: Cross multiply
    477,147.81x = 715,722 × 224,242.74
  4. Step 4: Simplify right side
    477,147.81x = 160,495,462,358.28
  5. Step 5: Solve for x
    x = 160,495,462,358.28/477,147.81
  6. Step 6: Final answer
    x = 336,364.24

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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.