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Finding the Fourth Proportional to 509,784.82, 703,491.47 and 277,206.67

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Solution

The fourth proportional to 509,784.82, 703,491.47 and 277,206.67 is: 382,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,784.82 : 703,491.47 = 277,206.67 : x
  2. Step 2: Convert to fraction form
    509,784.82/703,491.47 = 277,206.67/x
  3. Step 3: Cross multiply
    509,784.82x = 703,491.47 × 277,206.67
  4. Step 4: Simplify right side
    509,784.82x = 195,012,526,386.07
  5. Step 5: Solve for x
    x = 195,012,526,386.07/509,784.82
  6. Step 6: Final answer
    x = 382,538.90

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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.