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Finding the Fourth Proportional to 298,315.65, 411,672.83 and 162,349.77

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Solution

The fourth proportional to 298,315.65, 411,672.83 and 162,349.77 is: 224,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,315.65 : 411,672.83 = 162,349.77 : x
  2. Step 2: Convert to fraction form
    298,315.65/411,672.83 = 162,349.77/x
  3. Step 3: Cross multiply
    298,315.65x = 411,672.83 × 162,349.77
  4. Step 4: Simplify right side
    298,315.65x = 66,834,988,454.00
  5. Step 5: Solve for x
    x = 66,834,988,454.00/298,315.65
  6. Step 6: Final answer
    x = 224,041.17

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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.