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Finding the Fourth Proportional to 477,547.38, 658,794.87 and 286,228.62

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Solution

The fourth proportional to 477,547.38, 658,794.87 and 286,228.62 is: 394,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,547.38 : 658,794.87 = 286,228.62 : x
  2. Step 2: Convert to fraction form
    477,547.38/658,794.87 = 286,228.62/x
  3. Step 3: Cross multiply
    477,547.38x = 658,794.87 × 286,228.62
  4. Step 4: Simplify right side
    477,547.38x = 188,565,946,503.18
  5. Step 5: Solve for x
    x = 188,565,946,503.18/477,547.38
  6. Step 6: Final answer
    x = 394,863.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.