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Finding the Fourth Proportional to 509,762.26, 703,460.47 and 277,184.18

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Solution

The fourth proportional to 509,762.26, 703,460.47 and 277,184.18 is: 382,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,762.26 : 703,460.47 = 277,184.18 : x
  2. Step 2: Convert to fraction form
    509,762.26/703,460.47 = 277,184.18/x
  3. Step 3: Cross multiply
    509,762.26x = 703,460.47 × 277,184.18
  4. Step 4: Simplify right side
    509,762.26x = 194,988,111,947.39
  5. Step 5: Solve for x
    x = 194,988,111,947.39/509,762.26
  6. Step 6: Final answer
    x = 382,507.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.