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Finding the Fourth Proportional to 407,758.65, 611,036.55 and 295,674.90

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Solution

The fourth proportional to 407,758.65, 611,036.55 and 295,674.90 is: 443,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,758.65 : 611,036.55 = 295,674.90 : x
  2. Step 2: Convert to fraction form
    407,758.65/611,036.55 = 295,674.90/x
  3. Step 3: Cross multiply
    407,758.65x = 611,036.55 × 295,674.90
  4. Step 4: Simplify right side
    407,758.65x = 180,668,170,817.60
  5. Step 5: Solve for x
    x = 180,668,170,817.60/407,758.65
  6. Step 6: Final answer
    x = 443,076.24

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Why These Related Problems?

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