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Finding the Fourth Proportional to 413,004.91, 570,024.81 and 269,887.63

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Solution

The fourth proportional to 413,004.91, 570,024.81 and 269,887.63 is: 372,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,004.91 : 570,024.81 = 269,887.63 : x
  2. Step 2: Convert to fraction form
    413,004.91/570,024.81 = 269,887.63/x
  3. Step 3: Cross multiply
    413,004.91x = 570,024.81 × 269,887.63
  4. Step 4: Simplify right side
    413,004.91x = 153,842,645,012.10
  5. Step 5: Solve for x
    x = 153,842,645,012.10/413,004.91
  6. Step 6: Final answer
    x = 372,495.92

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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.