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Finding the Fourth Proportional to 841,688.54, 1,161,530.19 and 459,716.22

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Solution

The fourth proportional to 841,688.54, 1,161,530.19 and 459,716.22 is: 634,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,688.54 : 1,161,530.19 = 459,716.22 : x
  2. Step 2: Convert to fraction form
    841,688.54/1,161,530.19 = 459,716.22/x
  3. Step 3: Cross multiply
    841,688.54x = 1,161,530.19 × 459,716.22
  4. Step 4: Simplify right side
    841,688.54x = 533,974,268,362.68
  5. Step 5: Solve for x
    x = 533,974,268,362.68/841,688.54
  6. Step 6: Final answer
    x = 634,408.39

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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.