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Finding the Fourth Proportional to 585,021.24, 877,661.46 and 185,684.76

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Solution

The fourth proportional to 585,021.24, 877,661.46 and 185,684.76 is: 278,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,021.24 : 877,661.46 = 185,684.76 : x
  2. Step 2: Convert to fraction form
    585,021.24/877,661.46 = 185,684.76/x
  3. Step 3: Cross multiply
    585,021.24x = 877,661.46 × 185,684.76
  4. Step 4: Simplify right side
    585,021.24x = 162,968,357,561.35
  5. Step 5: Solve for x
    x = 162,968,357,561.35/585,021.24
  6. Step 6: Final answer
    x = 278,568.27

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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.