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Finding the Fourth Proportional to 539,638.57, 809,316.80 and 160,457.19

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Solution

The fourth proportional to 539,638.57, 809,316.80 and 160,457.19 is: 240,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,638.57 : 809,316.80 = 160,457.19 : x
  2. Step 2: Convert to fraction form
    539,638.57/809,316.80 = 160,457.19/x
  3. Step 3: Cross multiply
    539,638.57x = 809,316.80 × 160,457.19
  4. Step 4: Simplify right side
    539,638.57x = 129,860,696,312.28
  5. Step 5: Solve for x
    x = 129,860,696,312.28/539,638.57
  6. Step 6: Final answer
    x = 240,643.84

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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.