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Finding the Fourth Proportional to 601,704.58, 829,873.95 and 511,359.61

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Solution

The fourth proportional to 601,704.58, 829,873.95 and 511,359.61 is: 705,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,704.58 : 829,873.95 = 511,359.61 : x
  2. Step 2: Convert to fraction form
    601,704.58/829,873.95 = 511,359.61/x
  3. Step 3: Cross multiply
    601,704.58x = 829,873.95 × 511,359.61
  4. Step 4: Simplify right side
    601,704.58x = 424,364,019,421.16
  5. Step 5: Solve for x
    x = 424,364,019,421.16/601,704.58
  6. Step 6: Final answer
    x = 705,269.72

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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.