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Finding the Fourth Proportional to 419,407.30, 578,788.65 and 228,420.53

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Solution

The fourth proportional to 419,407.30, 578,788.65 and 228,420.53 is: 315,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,407.30 : 578,788.65 = 228,420.53 : x
  2. Step 2: Convert to fraction form
    419,407.30/578,788.65 = 228,420.53/x
  3. Step 3: Cross multiply
    419,407.30x = 578,788.65 × 228,420.53
  4. Step 4: Simplify right side
    419,407.30x = 132,207,210,190.99
  5. Step 5: Solve for x
    x = 132,207,210,190.99/419,407.30
  6. Step 6: Final answer
    x = 315,223.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.