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Finding the Fourth Proportional to 601,702.58, 829,871.19 and 511,357.61

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Solution

The fourth proportional to 601,702.58, 829,871.19 and 511,357.61 is: 705,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,702.58 : 829,871.19 = 511,357.61 : x
  2. Step 2: Convert to fraction form
    601,702.58/829,871.19 = 511,357.61/x
  3. Step 3: Cross multiply
    601,702.58x = 829,871.19 × 511,357.61
  4. Step 4: Simplify right side
    601,702.58x = 424,360,944,176.90
  5. Step 5: Solve for x
    x = 424,360,944,176.90/601,702.58
  6. Step 6: Final answer
    x = 705,266.96

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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.