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Finding the Fourth Proportional to 321,851.61, 482,864.54 and 97,219.35

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Solution

The fourth proportional to 321,851.61, 482,864.54 and 97,219.35 is: 145,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,851.61 : 482,864.54 = 97,219.35 : x
  2. Step 2: Convert to fraction form
    321,851.61/482,864.54 = 97,219.35/x
  3. Step 3: Cross multiply
    321,851.61x = 482,864.54 × 97,219.35
  4. Step 4: Simplify right side
    321,851.61x = 46,943,776,230.75
  5. Step 5: Solve for x
    x = 46,943,776,230.75/321,851.61
  6. Step 6: Final answer
    x = 145,855.34

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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.