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Finding the Fourth Proportional to 341,024.90, 511,537.35 and 288,536.90

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Solution

The fourth proportional to 341,024.90, 511,537.35 and 288,536.90 is: 432,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,024.90 : 511,537.35 = 288,536.90 : x
  2. Step 2: Convert to fraction form
    341,024.90/511,537.35 = 288,536.90/x
  3. Step 3: Cross multiply
    341,024.90x = 511,537.35 × 288,536.90
  4. Step 4: Simplify right side
    341,024.90x = 147,597,401,203.22
  5. Step 5: Solve for x
    x = 147,597,401,203.22/341,024.90
  6. Step 6: Final answer
    x = 432,805.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.