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Finding the Fourth Proportional to 456,916.93, 630,462.90 and 263,289.67

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Solution

The fourth proportional to 456,916.93, 630,462.90 and 263,289.67 is: 363,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,916.93 : 630,462.90 = 263,289.67 : x
  2. Step 2: Convert to fraction form
    456,916.93/630,462.90 = 263,289.67/x
  3. Step 3: Cross multiply
    456,916.93x = 630,462.90 × 263,289.67
  4. Step 4: Simplify right side
    456,916.93x = 165,994,368,888.24
  5. Step 5: Solve for x
    x = 165,994,368,888.24/456,916.93
  6. Step 6: Final answer
    x = 363,292.23

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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.