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Finding the Fourth Proportional to 464,565.41, 696,377.64 and 314,820.98

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Solution

The fourth proportional to 464,565.41, 696,377.64 and 314,820.98 is: 471,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,565.41 : 696,377.64 = 314,820.98 : x
  2. Step 2: Convert to fraction form
    464,565.41/696,377.64 = 314,820.98/x
  3. Step 3: Cross multiply
    464,565.41x = 696,377.64 × 314,820.98
  4. Step 4: Simplify right side
    464,565.41x = 219,234,291,074.89
  5. Step 5: Solve for x
    x = 219,234,291,074.89/464,565.41
  6. Step 6: Final answer
    x = 471,912.64

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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.