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Finding the Fourth Proportional to 385,271.20, 577,906.80 and 338,615.20

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Solution

The fourth proportional to 385,271.20, 577,906.80 and 338,615.20 is: 507,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,271.20 : 577,906.80 = 338,615.20 : x
  2. Step 2: Convert to fraction form
    385,271.20/577,906.80 = 338,615.20/x
  3. Step 3: Cross multiply
    385,271.20x = 577,906.80 × 338,615.20
  4. Step 4: Simplify right side
    385,271.20x = 195,688,026,663.36
  5. Step 5: Solve for x
    x = 195,688,026,663.36/385,271.20
  6. Step 6: Final answer
    x = 507,922.80

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Why These Related Problems?

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