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Finding the Fourth Proportional to 385,228.10, 577,064.55 and 385,228.10

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Solution

The fourth proportional to 385,228.10, 577,064.55 and 385,228.10 is: 577,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,228.10 : 577,064.55 = 385,228.10 : x
  2. Step 2: Convert to fraction form
    385,228.10/577,064.55 = 385,228.10/x
  3. Step 3: Cross multiply
    385,228.10x = 577,064.55 × 385,228.10
  4. Step 4: Simplify right side
    385,228.10x = 222,301,480,173.86
  5. Step 5: Solve for x
    x = 222,301,480,173.86/385,228.10
  6. Step 6: Final answer
    x = 577,064.55

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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.