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Finding the Fourth Proportional to 601,693.42, 829,858.62 and 511,348.45

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Solution

The fourth proportional to 601,693.42, 829,858.62 and 511,348.45 is: 705,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,693.42 : 829,858.62 = 511,348.45 : x
  2. Step 2: Convert to fraction form
    601,693.42/829,858.62 = 511,348.45/x
  3. Step 3: Cross multiply
    601,693.42x = 829,858.62 × 511,348.45
  4. Step 4: Simplify right side
    601,693.42x = 424,346,919,056.14
  5. Step 5: Solve for x
    x = 424,346,919,056.14/601,693.42
  6. Step 6: Final answer
    x = 705,254.38

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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.