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Finding the Fourth Proportional to 413,019.92, 570,167.76 and 277,004.24

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Solution

The fourth proportional to 413,019.92, 570,167.76 and 277,004.24 is: 382,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,019.92 : 570,167.76 = 277,004.24 : x
  2. Step 2: Convert to fraction form
    413,019.92/570,167.76 = 277,004.24/x
  3. Step 3: Cross multiply
    413,019.92x = 570,167.76 × 277,004.24
  4. Step 4: Simplify right side
    413,019.92x = 157,938,887,031.30
  5. Step 5: Solve for x
    x = 157,938,887,031.30/413,019.92
  6. Step 6: Final answer
    x = 382,400.17

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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.