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Finding the Fourth Proportional to 864,782.17, 1,296,304.95 and 295,774.32

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Solution

The fourth proportional to 864,782.17, 1,296,304.95 and 295,774.32 is: 443,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,782.17 : 1,296,304.95 = 295,774.32 : x
  2. Step 2: Convert to fraction form
    864,782.17/1,296,304.95 = 295,774.32/x
  3. Step 3: Cross multiply
    864,782.17x = 1,296,304.95 × 295,774.32
  4. Step 4: Simplify right side
    864,782.17x = 383,413,718,830.31
  5. Step 5: Solve for x
    x = 383,413,718,830.31/864,782.17
  6. Step 6: Final answer
    x = 443,364.50

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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.