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Finding the Fourth Proportional to 456,740.40, 685,110.60 and 434,967.60

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Solution

The fourth proportional to 456,740.40, 685,110.60 and 434,967.60 is: 652,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,740.40 : 685,110.60 = 434,967.60 : x
  2. Step 2: Convert to fraction form
    456,740.40/685,110.60 = 434,967.60/x
  3. Step 3: Cross multiply
    456,740.40x = 685,110.60 × 434,967.60
  4. Step 4: Simplify right side
    456,740.40x = 298,000,913,416.56
  5. Step 5: Solve for x
    x = 298,000,913,416.56/456,740.40
  6. Step 6: Final answer
    x = 652,451.40

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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.