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Finding the Fourth Proportional to 841,083.84, 1,160,712 and 459,144

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Solution

The fourth proportional to 841,083.84, 1,160,712 and 459,144 is: 633,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,083.84 : 1,160,712 = 459,144 : x
  2. Step 2: Convert to fraction form
    841,083.84/1,160,712 = 459,144/x
  3. Step 3: Cross multiply
    841,083.84x = 1,160,712 × 459,144
  4. Step 4: Simplify right side
    841,083.84x = 532,933,950,528
  5. Step 5: Solve for x
    x = 532,933,950,528/841,083.84
  6. Step 6: Final answer
    x = 633,627.62

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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.