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Finding the Fourth Proportional to 841,469, 1,161,231.52 and 459,495.80

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Solution

The fourth proportional to 841,469, 1,161,231.52 and 459,495.80 is: 634,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,469 : 1,161,231.52 = 459,495.80 : x
  2. Step 2: Convert to fraction form
    841,469/1,161,231.52 = 459,495.80/x
  3. Step 3: Cross multiply
    841,469x = 1,161,231.52 × 459,495.80
  4. Step 4: Simplify right side
    841,469x = 533,581,006,267.62
  5. Step 5: Solve for x
    x = 533,581,006,267.62/841,469
  6. Step 6: Final answer
    x = 634,106.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.