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Finding the Fourth Proportional to 470,157.84, 705,516.84 and 170,661.72

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Solution

The fourth proportional to 470,157.84, 705,516.84 and 170,661.72 is: 256,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,157.84 : 705,516.84 = 170,661.72 : x
  2. Step 2: Convert to fraction form
    470,157.84/705,516.84 = 170,661.72/x
  3. Step 3: Cross multiply
    470,157.84x = 705,516.84 × 170,661.72
  4. Step 4: Simplify right side
    470,157.84x = 120,404,717,403.37
  5. Step 5: Solve for x
    x = 120,404,717,403.37/470,157.84
  6. Step 6: Final answer
    x = 256,094.25

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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.