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Finding the Fourth Proportional to 674,014, 1,011,798.60 and 342,289.84

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Solution

The fourth proportional to 674,014, 1,011,798.60 and 342,289.84 is: 513,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,014 : 1,011,798.60 = 342,289.84 : x
  2. Step 2: Convert to fraction form
    674,014/1,011,798.60 = 342,289.84/x
  3. Step 3: Cross multiply
    674,014x = 1,011,798.60 × 342,289.84
  4. Step 4: Simplify right side
    674,014x = 346,328,380,906.22
  5. Step 5: Solve for x
    x = 346,328,380,906.22/674,014
  6. Step 6: Final answer
    x = 513,829.65

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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.