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Finding the Fourth Proportional to 428,130.40, 590,830.50 and 234,548.68

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Solution

The fourth proportional to 428,130.40, 590,830.50 and 234,548.68 is: 323,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,130.40 : 590,830.50 = 234,548.68 : x
  2. Step 2: Convert to fraction form
    428,130.40/590,830.50 = 234,548.68/x
  3. Step 3: Cross multiply
    428,130.40x = 590,830.50 × 234,548.68
  4. Step 4: Simplify right side
    428,130.40x = 138,578,513,878.74
  5. Step 5: Solve for x
    x = 138,578,513,878.74/428,130.40
  6. Step 6: Final answer
    x = 323,682.96

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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.