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Finding the Fourth Proportional to 556,811.42, 768,401.76 and 302,162.54

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Solution

The fourth proportional to 556,811.42, 768,401.76 and 302,162.54 is: 416,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,811.42 : 768,401.76 = 302,162.54 : x
  2. Step 2: Convert to fraction form
    556,811.42/768,401.76 = 302,162.54/x
  3. Step 3: Cross multiply
    556,811.42x = 768,401.76 × 302,162.54
  4. Step 4: Simplify right side
    556,811.42x = 232,182,227,542.07
  5. Step 5: Solve for x
    x = 232,182,227,542.07/556,811.42
  6. Step 6: Final answer
    x = 416,985.39

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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.