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Finding the Fourth Proportional to 385,047, 577,803.81 and 163,431

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Solution

The fourth proportional to 385,047, 577,803.81 and 163,431 is: 245,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,047 : 577,803.81 = 163,431 : x
  2. Step 2: Convert to fraction form
    385,047/577,803.81 = 163,431/x
  3. Step 3: Cross multiply
    385,047x = 577,803.81 × 163,431
  4. Step 4: Simplify right side
    385,047x = 94,431,054,472.11
  5. Step 5: Solve for x
    x = 94,431,054,472.11/385,047
  6. Step 6: Final answer
    x = 245,245.53

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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.