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Finding the Fourth Proportional to 505,058.58, 697,100.11 and 290,323.20

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Solution

The fourth proportional to 505,058.58, 697,100.11 and 290,323.20 is: 400,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,058.58 : 697,100.11 = 290,323.20 : x
  2. Step 2: Convert to fraction form
    505,058.58/697,100.11 = 290,323.20/x
  3. Step 3: Cross multiply
    505,058.58x = 697,100.11 × 290,323.20
  4. Step 4: Simplify right side
    505,058.58x = 202,384,334,655.55
  5. Step 5: Solve for x
    x = 202,384,334,655.55/505,058.58
  6. Step 6: Final answer
    x = 400,714.58

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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.