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Finding the Fourth Proportional to 384,195.30, 575,256.15 and 384,195.30

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Solution

The fourth proportional to 384,195.30, 575,256.15 and 384,195.30 is: 575,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,195.30 : 575,256.15 = 384,195.30 : x
  2. Step 2: Convert to fraction form
    384,195.30/575,256.15 = 384,195.30/x
  3. Step 3: Cross multiply
    384,195.30x = 575,256.15 × 384,195.30
  4. Step 4: Simplify right side
    384,195.30x = 221,010,709,126.10
  5. Step 5: Solve for x
    x = 221,010,709,126.10/384,195.30
  6. Step 6: Final answer
    x = 575,256.15

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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.