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Finding the Fourth Proportional to 417,189.20, 575,509.16 and 263,969.20

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Solution

The fourth proportional to 417,189.20, 575,509.16 and 263,969.20 is: 364,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,189.20 : 575,509.16 = 263,969.20 : x
  2. Step 2: Convert to fraction form
    417,189.20/575,509.16 = 263,969.20/x
  3. Step 3: Cross multiply
    417,189.20x = 575,509.16 × 263,969.20
  4. Step 4: Simplify right side
    417,189.20x = 151,916,692,557.87
  5. Step 5: Solve for x
    x = 151,916,692,557.87/417,189.20
  6. Step 6: Final answer
    x = 364,143.40

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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.