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Finding the Fourth Proportional to 413,014, 570,159.54 and 276,998.20

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Solution

The fourth proportional to 413,014, 570,159.54 and 276,998.20 is: 382,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,014 : 570,159.54 = 276,998.20 : x
  2. Step 2: Convert to fraction form
    413,014/570,159.54 = 276,998.20/x
  3. Step 3: Cross multiply
    413,014x = 570,159.54 × 276,998.20
  4. Step 4: Simplify right side
    413,014x = 157,933,166,292.83
  5. Step 5: Solve for x
    x = 157,933,166,292.83/413,014
  6. Step 6: Final answer
    x = 382,391.80

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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.