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Finding the Fourth Proportional to 451,970.89, 677,483.19 and 152,347.84

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Solution

The fourth proportional to 451,970.89, 677,483.19 and 152,347.84 is: 228,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,970.89 : 677,483.19 = 152,347.84 : x
  2. Step 2: Convert to fraction form
    451,970.89/677,483.19 = 152,347.84/x
  3. Step 3: Cross multiply
    451,970.89x = 677,483.19 × 152,347.84
  4. Step 4: Simplify right side
    451,970.89x = 103,213,098,939.10
  5. Step 5: Solve for x
    x = 103,213,098,939.10/451,970.89
  6. Step 6: Final answer
    x = 228,362.27

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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.