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Finding the Fourth Proportional to 601,699.44, 829,866.88 and 511,354.44

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Solution

The fourth proportional to 601,699.44, 829,866.88 and 511,354.44 is: 705,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,699.44 : 829,866.88 = 511,354.44 : x
  2. Step 2: Convert to fraction form
    601,699.44/829,866.88 = 511,354.44/x
  3. Step 3: Cross multiply
    601,699.44x = 829,866.88 × 511,354.44
  4. Step 4: Simplify right side
    601,699.44x = 424,356,113,696.95
  5. Step 5: Solve for x
    x = 424,356,113,696.95/601,699.44
  6. Step 6: Final answer
    x = 705,262.60

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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.