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Finding the Fourth Proportional to 507,814.38, 701,007.08 and 355,450.95

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Solution

The fourth proportional to 507,814.38, 701,007.08 and 355,450.95 is: 490,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,814.38 : 701,007.08 = 355,450.95 : x
  2. Step 2: Convert to fraction form
    507,814.38/701,007.08 = 355,450.95/x
  3. Step 3: Cross multiply
    507,814.38x = 701,007.08 × 355,450.95
  4. Step 4: Simplify right side
    507,814.38x = 249,173,630,765.47
  5. Step 5: Solve for x
    x = 249,173,630,765.47/507,814.38
  6. Step 6: Final answer
    x = 490,678.56

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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.