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Finding the Fourth Proportional to 416,830.64, 575,218.72 and 235,538.72

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Solution

The fourth proportional to 416,830.64, 575,218.72 and 235,538.72 is: 325,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,830.64 : 575,218.72 = 235,538.72 : x
  2. Step 2: Convert to fraction form
    416,830.64/575,218.72 = 235,538.72/x
  3. Step 3: Cross multiply
    416,830.64x = 575,218.72 × 235,538.72
  4. Step 4: Simplify right side
    416,830.64x = 135,486,281,028.84
  5. Step 5: Solve for x
    x = 135,486,281,028.84/416,830.64
  6. Step 6: Final answer
    x = 325,039.16

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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.