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Finding the Fourth Proportional to 385,243.20, 577,281.60 and 260,438.40

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Solution

The fourth proportional to 385,243.20, 577,281.60 and 260,438.40 is: 390,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,243.20 : 577,281.60 = 260,438.40 : x
  2. Step 2: Convert to fraction form
    385,243.20/577,281.60 = 260,438.40/x
  3. Step 3: Cross multiply
    385,243.20x = 577,281.60 × 260,438.40
  4. Step 4: Simplify right side
    385,243.20x = 150,346,296,253.44
  5. Step 5: Solve for x
    x = 150,346,296,253.44/385,243.20
  6. Step 6: Final answer
    x = 390,263.34

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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.