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Finding the Fourth Proportional to 519,334.24, 716,678.51 and 301,596.45

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Solution

The fourth proportional to 519,334.24, 716,678.51 and 301,596.45 is: 416,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,334.24 : 716,678.51 = 301,596.45 : x
  2. Step 2: Convert to fraction form
    519,334.24/716,678.51 = 301,596.45/x
  3. Step 3: Cross multiply
    519,334.24x = 716,678.51 × 301,596.45
  4. Step 4: Simplify right side
    519,334.24x = 216,147,692,899.31
  5. Step 5: Solve for x
    x = 216,147,692,899.31/519,334.24
  6. Step 6: Final answer
    x = 416,201.51

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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.