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Finding the Fourth Proportional to 384,797.60, 577,196.40 and 314,813.60

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Solution

The fourth proportional to 384,797.60, 577,196.40 and 314,813.60 is: 472,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,797.60 : 577,196.40 = 314,813.60 : x
  2. Step 2: Convert to fraction form
    384,797.60/577,196.40 = 314,813.60/x
  3. Step 3: Cross multiply
    384,797.60x = 577,196.40 × 314,813.60
  4. Step 4: Simplify right side
    384,797.60x = 181,709,276,591.04
  5. Step 5: Solve for x
    x = 181,709,276,591.04/384,797.60
  6. Step 6: Final answer
    x = 472,220.40

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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.