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Finding the Fourth Proportional to 456,750.40, 685,125.60 and 434,977.60

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Solution

The fourth proportional to 456,750.40, 685,125.60 and 434,977.60 is: 652,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,750.40 : 685,125.60 = 434,977.60 : x
  2. Step 2: Convert to fraction form
    456,750.40/685,125.60 = 434,977.60/x
  3. Step 3: Cross multiply
    456,750.40x = 685,125.60 × 434,977.60
  4. Step 4: Simplify right side
    456,750.40x = 298,014,289,186.56
  5. Step 5: Solve for x
    x = 298,014,289,186.56/456,750.40
  6. Step 6: Final answer
    x = 652,466.40

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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.