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Finding the Fourth Proportional to 385,022.40, 577,533.60 and 291,710.40

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Solution

The fourth proportional to 385,022.40, 577,533.60 and 291,710.40 is: 437,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,022.40 : 577,533.60 = 291,710.40 : x
  2. Step 2: Convert to fraction form
    385,022.40/577,533.60 = 291,710.40/x
  3. Step 3: Cross multiply
    385,022.40x = 577,533.60 × 291,710.40
  4. Step 4: Simplify right side
    385,022.40x = 168,472,557,469.44
  5. Step 5: Solve for x
    x = 168,472,557,469.44/385,022.40
  6. Step 6: Final answer
    x = 437,565.60

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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.