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Finding the Fourth Proportional to 470,693.42, 705,818.36 and 170,962.64

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Solution

The fourth proportional to 470,693.42, 705,818.36 and 170,962.64 is: 256,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,693.42 : 705,818.36 = 170,962.64 : x
  2. Step 2: Convert to fraction form
    470,693.42/705,818.36 = 170,962.64/x
  3. Step 3: Cross multiply
    470,693.42x = 705,818.36 × 170,962.64
  4. Step 4: Simplify right side
    470,693.42x = 120,668,570,186.07
  5. Step 5: Solve for x
    x = 120,668,570,186.07/470,693.42
  6. Step 6: Final answer
    x = 256,363.41

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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.