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Finding the Fourth Proportional to 385,583.44, 577,369.14 and 310,292.32

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Solution

The fourth proportional to 385,583.44, 577,369.14 and 310,292.32 is: 464,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,583.44 : 577,369.14 = 310,292.32 : x
  2. Step 2: Convert to fraction form
    385,583.44/577,369.14 = 310,292.32/x
  3. Step 3: Cross multiply
    385,583.44x = 577,369.14 × 310,292.32
  4. Step 4: Simplify right side
    385,583.44x = 179,153,209,947.01
  5. Step 5: Solve for x
    x = 179,153,209,947.01/385,583.44
  6. Step 6: Final answer
    x = 464,628.90

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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.