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Finding the Fourth Proportional to 510,350.16, 704,237.40 and 295,504.77

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Solution

The fourth proportional to 510,350.16, 704,237.40 and 295,504.77 is: 407,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,350.16 : 704,237.40 = 295,504.77 : x
  2. Step 2: Convert to fraction form
    510,350.16/704,237.40 = 295,504.77/x
  3. Step 3: Cross multiply
    510,350.16x = 704,237.40 × 295,504.77
  4. Step 4: Simplify right side
    510,350.16x = 208,105,510,912.40
  5. Step 5: Solve for x
    x = 208,105,510,912.40/510,350.16
  6. Step 6: Final answer
    x = 407,770.05

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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.