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Finding the Fourth Proportional to 511,300.45, 706,870.08 and 383,754.61

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Solution

The fourth proportional to 511,300.45, 706,870.08 and 383,754.61 is: 530,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,300.45 : 706,870.08 = 383,754.61 : x
  2. Step 2: Convert to fraction form
    511,300.45/706,870.08 = 383,754.61/x
  3. Step 3: Cross multiply
    511,300.45x = 706,870.08 × 383,754.61
  4. Step 4: Simplify right side
    511,300.45x = 271,264,646,417.95
  5. Step 5: Solve for x
    x = 271,264,646,417.95/511,300.45
  6. Step 6: Final answer
    x = 530,538.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.