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Finding the Fourth Proportional to 421,052.16, 626,163 and 407,762.76

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Solution

The fourth proportional to 421,052.16, 626,163 and 407,762.76 is: 606,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,052.16 : 626,163 = 407,762.76 : x
  2. Step 2: Convert to fraction form
    421,052.16/626,163 = 407,762.76/x
  3. Step 3: Cross multiply
    421,052.16x = 626,163 × 407,762.76
  4. Step 4: Simplify right side
    421,052.16x = 255,325,953,089.88
  5. Step 5: Solve for x
    x = 255,325,953,089.88/421,052.16
  6. Step 6: Final answer
    x = 606,399.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.