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Finding the Fourth Proportional to 470,713.01, 649,590.57 and 255,853.08

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Solution

The fourth proportional to 470,713.01, 649,590.57 and 255,853.08 is: 353,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,713.01 : 649,590.57 = 255,853.08 : x
  2. Step 2: Convert to fraction form
    470,713.01/649,590.57 = 255,853.08/x
  3. Step 3: Cross multiply
    470,713.01x = 649,590.57 × 255,853.08
  4. Step 4: Simplify right side
    470,713.01x = 166,199,748,073.46
  5. Step 5: Solve for x
    x = 166,199,748,073.46/470,713.01
  6. Step 6: Final answer
    x = 353,080.85

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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.