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Finding the Fourth Proportional to 428,129.40, 590,829.12 and 234,547.68

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Solution

The fourth proportional to 428,129.40, 590,829.12 and 234,547.68 is: 323,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,129.40 : 590,829.12 = 234,547.68 : x
  2. Step 2: Convert to fraction form
    428,129.40/590,829.12 = 234,547.68/x
  3. Step 3: Cross multiply
    428,129.40x = 590,829.12 × 234,547.68
  4. Step 4: Simplify right side
    428,129.40x = 138,577,599,372.44
  5. Step 5: Solve for x
    x = 138,577,599,372.44/428,129.40
  6. Step 6: Final answer
    x = 323,681.58

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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.