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Finding the Fourth Proportional to 548,875.26, 822,462.64 and 380,722.50

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Solution

The fourth proportional to 548,875.26, 822,462.64 and 380,722.50 is: 570,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,875.26 : 822,462.64 = 380,722.50 : x
  2. Step 2: Convert to fraction form
    548,875.26/822,462.64 = 380,722.50/x
  3. Step 3: Cross multiply
    548,875.26x = 822,462.64 × 380,722.50
  4. Step 4: Simplify right side
    548,875.26x = 313,130,032,457.40
  5. Step 5: Solve for x
    x = 313,130,032,457.40/548,875.26
  6. Step 6: Final answer
    x = 570,493.98

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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.