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Finding the Fourth Proportional to 417,148.32, 575,661.21 and 235,895.84

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Solution

The fourth proportional to 417,148.32, 575,661.21 and 235,895.84 is: 325,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,148.32 : 575,661.21 = 235,895.84 : x
  2. Step 2: Convert to fraction form
    417,148.32/575,661.21 = 235,895.84/x
  3. Step 3: Cross multiply
    417,148.32x = 575,661.21 × 235,895.84
  4. Step 4: Simplify right side
    417,148.32x = 135,796,084,688.37
  5. Step 5: Solve for x
    x = 135,796,084,688.37/417,148.32
  6. Step 6: Final answer
    x = 325,534.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.