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Finding the Fourth Proportional to 519,638.40, 779,457.60 and 461,577.60

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Solution

The fourth proportional to 519,638.40, 779,457.60 and 461,577.60 is: 692,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,638.40 : 779,457.60 = 461,577.60 : x
  2. Step 2: Convert to fraction form
    519,638.40/779,457.60 = 461,577.60/x
  3. Step 3: Cross multiply
    519,638.40x = 779,457.60 × 461,577.60
  4. Step 4: Simplify right side
    519,638.40x = 359,780,168,309.76
  5. Step 5: Solve for x
    x = 359,780,168,309.76/519,638.40
  6. Step 6: Final answer
    x = 692,366.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.