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Finding the Fourth Proportional to 430,008.64, 593,361.16 and 255,551.68

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Solution

The fourth proportional to 430,008.64, 593,361.16 and 255,551.68 is: 352,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,008.64 : 593,361.16 = 255,551.68 : x
  2. Step 2: Convert to fraction form
    430,008.64/593,361.16 = 255,551.68/x
  3. Step 3: Cross multiply
    430,008.64x = 593,361.16 × 255,551.68
  4. Step 4: Simplify right side
    430,008.64x = 151,634,441,284.75
  5. Step 5: Solve for x
    x = 151,634,441,284.75/430,008.64
  6. Step 6: Final answer
    x = 352,631.15

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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.