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Finding the Fourth Proportional to 318,645, 477,967.50 and 97,029

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Solution

The fourth proportional to 318,645, 477,967.50 and 97,029 is: 145,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,645 : 477,967.50 = 97,029 : x
  2. Step 2: Convert to fraction form
    318,645/477,967.50 = 97,029/x
  3. Step 3: Cross multiply
    318,645x = 477,967.50 × 97,029
  4. Step 4: Simplify right side
    318,645x = 46,376,708,557.50
  5. Step 5: Solve for x
    x = 46,376,708,557.50/318,645
  6. Step 6: Final answer
    x = 145,543.50

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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.