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Finding the Fourth Proportional to 384,806.10, 577,209.15 and 314,822.10

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Solution

The fourth proportional to 384,806.10, 577,209.15 and 314,822.10 is: 472,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,806.10 : 577,209.15 = 314,822.10 : x
  2. Step 2: Convert to fraction form
    384,806.10/577,209.15 = 314,822.10/x
  3. Step 3: Cross multiply
    384,806.10x = 577,209.15 × 314,822.10
  4. Step 4: Simplify right side
    384,806.10x = 181,718,196,742.22
  5. Step 5: Solve for x
    x = 181,718,196,742.22/384,806.10
  6. Step 6: Final answer
    x = 472,233.15

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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.