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Finding the Fourth Proportional to 493,300, 680,758.88 and 266,950.36

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Solution

The fourth proportional to 493,300, 680,758.88 and 266,950.36 is: 368,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,300 : 680,758.88 = 266,950.36 : x
  2. Step 2: Convert to fraction form
    493,300/680,758.88 = 266,950.36/x
  3. Step 3: Cross multiply
    493,300x = 680,758.88 × 266,950.36
  4. Step 4: Simplify right side
    493,300x = 181,728,828,089.20
  5. Step 5: Solve for x
    x = 181,728,828,089.20/493,300
  6. Step 6: Final answer
    x = 368,394.14

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1.5x scale

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.