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Finding the Fourth Proportional to 675,836, 1,013,360.34 and 296,741.60

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Solution

The fourth proportional to 675,836, 1,013,360.34 and 296,741.60 is: 444,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,836 : 1,013,360.34 = 296,741.60 : x
  2. Step 2: Convert to fraction form
    675,836/1,013,360.34 = 296,741.60/x
  3. Step 3: Cross multiply
    675,836x = 1,013,360.34 × 296,741.60
  4. Step 4: Simplify right side
    675,836x = 300,706,168,668.14
  5. Step 5: Solve for x
    x = 300,706,168,668.14/675,836
  6. Step 6: Final answer
    x = 444,939.55

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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.