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Finding the Fourth Proportional to 468,868.74, 704,161.10 and 429,342.76

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Solution

The fourth proportional to 468,868.74, 704,161.10 and 429,342.76 is: 644,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,868.74 : 704,161.10 = 429,342.76 : x
  2. Step 2: Convert to fraction form
    468,868.74/704,161.10 = 429,342.76/x
  3. Step 3: Cross multiply
    468,868.74x = 704,161.10 × 429,342.76
  4. Step 4: Simplify right side
    468,868.74x = 302,326,470,158.64
  5. Step 5: Solve for x
    x = 302,326,470,158.64/468,868.74
  6. Step 6: Final answer
    x = 644,799.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.