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Finding the Fourth Proportional to 464,575.41, 696,392.64 and 314,830.98

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Solution

The fourth proportional to 464,575.41, 696,392.64 and 314,830.98 is: 471,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,575.41 : 696,392.64 = 314,830.98 : x
  2. Step 2: Convert to fraction form
    464,575.41/696,392.64 = 314,830.98/x
  3. Step 3: Cross multiply
    464,575.41x = 696,392.64 × 314,830.98
  4. Step 4: Simplify right side
    464,575.41x = 219,245,977,315.99
  5. Step 5: Solve for x
    x = 219,245,977,315.99/464,575.41
  6. Step 6: Final answer
    x = 471,927.64

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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.