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Finding the Fourth Proportional to 509,503.47, 764,255.19 and 228,692.67

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Solution

The fourth proportional to 509,503.47, 764,255.19 and 228,692.67 is: 343,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,503.47 : 764,255.19 = 228,692.67 : x
  2. Step 2: Convert to fraction form
    509,503.47/764,255.19 = 228,692.67/x
  3. Step 3: Cross multiply
    509,503.47x = 764,255.19 × 228,692.67
  4. Step 4: Simplify right side
    509,503.47x = 174,779,559,962.46
  5. Step 5: Solve for x
    x = 174,779,559,962.46/509,503.47
  6. Step 6: Final answer
    x = 343,039.00

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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.