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Finding the Fourth Proportional to 585,065.10, 877,626.45 and 305,129.10

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Solution

The fourth proportional to 585,065.10, 877,626.45 and 305,129.10 is: 457,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,065.10 : 877,626.45 = 305,129.10 : x
  2. Step 2: Convert to fraction form
    585,065.10/877,626.45 = 305,129.10/x
  3. Step 3: Cross multiply
    585,065.10x = 877,626.45 × 305,129.10
  4. Step 4: Simplify right side
    585,065.10x = 267,789,368,824.70
  5. Step 5: Solve for x
    x = 267,789,368,824.70/585,065.10
  6. Step 6: Final answer
    x = 457,708.67

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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.