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Finding the Fourth Proportional to 464,505.60, 697,276.80 and 434,049.60

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Solution

The fourth proportional to 464,505.60, 697,276.80 and 434,049.60 is: 651,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,505.60 : 697,276.80 = 434,049.60 : x
  2. Step 2: Convert to fraction form
    464,505.60/697,276.80 = 434,049.60/x
  3. Step 3: Cross multiply
    464,505.60x = 697,276.80 × 434,049.60
  4. Step 4: Simplify right side
    464,505.60x = 302,652,716,129.28
  5. Step 5: Solve for x
    x = 302,652,716,129.28/464,505.60
  6. Step 6: Final answer
    x = 651,558.81

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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.