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Finding the Fourth Proportional to 841,466, 1,161,227.38 and 459,492.80

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Solution

The fourth proportional to 841,466, 1,161,227.38 and 459,492.80 is: 634,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,466 : 1,161,227.38 = 459,492.80 : x
  2. Step 2: Convert to fraction form
    841,466/1,161,227.38 = 459,492.80/x
  3. Step 3: Cross multiply
    841,466x = 1,161,227.38 × 459,492.80
  4. Step 4: Simplify right side
    841,466x = 533,575,620,272.86
  5. Step 5: Solve for x
    x = 533,575,620,272.86/841,466
  6. Step 6: Final answer
    x = 634,102.41

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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.