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Finding the Fourth Proportional to 511,505.20, 767,315.25 and 417,535.28

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Solution

The fourth proportional to 511,505.20, 767,315.25 and 417,535.28 is: 626,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,505.20 : 767,315.25 = 417,535.28 : x
  2. Step 2: Convert to fraction form
    511,505.20/767,315.25 = 417,535.28/x
  3. Step 3: Cross multiply
    511,505.20x = 767,315.25 × 417,535.28
  4. Step 4: Simplify right side
    511,505.20x = 320,381,190,130.27
  5. Step 5: Solve for x
    x = 320,381,190,130.27/511,505.20
  6. Step 6: Final answer
    x = 626,349.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.