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Finding the Fourth Proportional to 451,638.95, 677,459.61 and 152,329.77

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Solution

The fourth proportional to 451,638.95, 677,459.61 and 152,329.77 is: 228,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,638.95 : 677,459.61 = 152,329.77 : x
  2. Step 2: Convert to fraction form
    451,638.95/677,459.61 = 152,329.77/x
  3. Step 3: Cross multiply
    451,638.95x = 677,459.61 × 152,329.77
  4. Step 4: Simplify right side
    451,638.95x = 103,197,266,575.59
  5. Step 5: Solve for x
    x = 103,197,266,575.59/451,638.95
  6. Step 6: Final answer
    x = 228,495.06

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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.