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Finding the Fourth Proportional to 424,828.30, 586,263.22 and 233,840.32

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Solution

The fourth proportional to 424,828.30, 586,263.22 and 233,840.32 is: 322,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,828.30 : 586,263.22 = 233,840.32 : x
  2. Step 2: Convert to fraction form
    424,828.30/586,263.22 = 233,840.32/x
  3. Step 3: Cross multiply
    424,828.30x = 586,263.22 × 233,840.32
  4. Step 4: Simplify right side
    424,828.30x = 137,091,978,969.03
  5. Step 5: Solve for x
    x = 137,091,978,969.03/424,828.30
  6. Step 6: Final answer
    x = 322,699.73

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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.