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Finding the Fourth Proportional to 417,185.21, 575,736.70 and 233,444.41

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Solution

The fourth proportional to 417,185.21, 575,736.70 and 233,444.41 is: 322,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,185.21 : 575,736.70 = 233,444.41 : x
  2. Step 2: Convert to fraction form
    417,185.21/575,736.70 = 233,444.41/x
  3. Step 3: Cross multiply
    417,185.21x = 575,736.70 × 233,444.41
  4. Step 4: Simplify right side
    417,185.21x = 134,402,514,246.85
  5. Step 5: Solve for x
    x = 134,402,514,246.85/417,185.21
  6. Step 6: Final answer
    x = 322,165.10

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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.