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Finding the Fourth Proportional to 585,182.46, 877,684.02 and 185,771.46

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Solution

The fourth proportional to 585,182.46, 877,684.02 and 185,771.46 is: 278,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,182.46 : 877,684.02 = 185,771.46 : x
  2. Step 2: Convert to fraction form
    585,182.46/877,684.02 = 185,771.46/x
  3. Step 3: Cross multiply
    585,182.46x = 877,684.02 × 185,771.46
  4. Step 4: Simplify right side
    585,182.46x = 163,048,641,814.07
  5. Step 5: Solve for x
    x = 163,048,641,814.07/585,182.46
  6. Step 6: Final answer
    x = 278,628.72

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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.