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Finding the Fourth Proportional to 643,164.64, 965,534.16 and 617,795.36

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Solution

The fourth proportional to 643,164.64, 965,534.16 and 617,795.36 is: 927,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,164.64 : 965,534.16 = 617,795.36 : x
  2. Step 2: Convert to fraction form
    643,164.64/965,534.16 = 617,795.36/x
  3. Step 3: Cross multiply
    643,164.64x = 965,534.16 × 617,795.36
  4. Step 4: Simplify right side
    643,164.64x = 596,502,523,969.50
  5. Step 5: Solve for x
    x = 596,502,523,969.50/643,164.64
  6. Step 6: Final answer
    x = 927,449.19

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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.