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Finding the Fourth Proportional to 648,650.91, 972,186.72 and 459,164.98

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Solution

The fourth proportional to 648,650.91, 972,186.72 and 459,164.98 is: 688,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,650.91 : 972,186.72 = 459,164.98 : x
  2. Step 2: Convert to fraction form
    648,650.91/972,186.72 = 459,164.98/x
  3. Step 3: Cross multiply
    648,650.91x = 972,186.72 × 459,164.98
  4. Step 4: Simplify right side
    648,650.91x = 446,394,095,845.07
  5. Step 5: Solve for x
    x = 446,394,095,845.07/648,650.91
  6. Step 6: Final answer
    x = 688,188.50

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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.