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Finding the Fourth Proportional to 407,710.38, 562,444.11 and 264,515.34

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Solution

The fourth proportional to 407,710.38, 562,444.11 and 264,515.34 is: 364,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,710.38 : 562,444.11 = 264,515.34 : x
  2. Step 2: Convert to fraction form
    407,710.38/562,444.11 = 264,515.34/x
  3. Step 3: Cross multiply
    407,710.38x = 562,444.11 × 264,515.34
  4. Step 4: Simplify right side
    407,710.38x = 148,775,094,987.65
  5. Step 5: Solve for x
    x = 148,775,094,987.65/407,710.38
  6. Step 6: Final answer
    x = 364,903.87

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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.