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Finding the Fourth Proportional to 559,698.88, 772,400.64 and 305,066.56

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Solution

The fourth proportional to 559,698.88, 772,400.64 and 305,066.56 is: 421,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,698.88 : 772,400.64 = 305,066.56 : x
  2. Step 2: Convert to fraction form
    559,698.88/772,400.64 = 305,066.56/x
  3. Step 3: Cross multiply
    559,698.88x = 772,400.64 × 305,066.56
  4. Step 4: Simplify right side
    559,698.88x = 235,633,606,186.60
  5. Step 5: Solve for x
    x = 235,633,606,186.60/559,698.88
  6. Step 6: Final answer
    x = 421,000.67

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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.