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Finding the Fourth Proportional to 318,649, 477,973.50 and 97,033

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Solution

The fourth proportional to 318,649, 477,973.50 and 97,033 is: 145,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,649 : 477,973.50 = 97,033 : x
  2. Step 2: Convert to fraction form
    318,649/477,973.50 = 97,033/x
  3. Step 3: Cross multiply
    318,649x = 477,973.50 × 97,033
  4. Step 4: Simplify right side
    318,649x = 46,379,202,625.50
  5. Step 5: Solve for x
    x = 46,379,202,625.50/318,649
  6. Step 6: Final answer
    x = 145,549.50

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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.