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Finding the Fourth Proportional to 417,175.76, 575,699.16 and 235,923.32

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Solution

The fourth proportional to 417,175.76, 575,699.16 and 235,923.32 is: 325,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,175.76 : 575,699.16 = 235,923.32 : x
  2. Step 2: Convert to fraction form
    417,175.76/575,699.16 = 235,923.32/x
  3. Step 3: Cross multiply
    417,175.76x = 575,699.16 × 235,923.32
  4. Step 4: Simplify right side
    417,175.76x = 135,820,857,148.41
  5. Step 5: Solve for x
    x = 135,820,857,148.41/417,175.76
  6. Step 6: Final answer
    x = 325,572.27

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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.