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Finding the Fourth Proportional to 470,697.76, 649,567.22 and 255,838.32

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Solution

The fourth proportional to 470,697.76, 649,567.22 and 255,838.32 is: 353,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,697.76 : 649,567.22 = 255,838.32 : x
  2. Step 2: Convert to fraction form
    470,697.76/649,567.22 = 255,838.32/x
  3. Step 3: Cross multiply
    470,697.76x = 649,567.22 × 255,838.32
  4. Step 4: Simplify right side
    470,697.76x = 166,184,186,291.87
  5. Step 5: Solve for x
    x = 166,184,186,291.87/470,697.76
  6. Step 6: Final answer
    x = 353,059.22

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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.