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Finding the Fourth Proportional to 428,779.40, 647,060.08 and 414,486.41

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Solution

The fourth proportional to 428,779.40, 647,060.08 and 414,486.41 is: 625,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,779.40 : 647,060.08 = 414,486.41 : x
  2. Step 2: Convert to fraction form
    428,779.40/647,060.08 = 414,486.41/x
  3. Step 3: Cross multiply
    428,779.40x = 647,060.08 × 414,486.41
  4. Step 4: Simplify right side
    428,779.40x = 268,197,607,541.08
  5. Step 5: Solve for x
    x = 268,197,607,541.08/428,779.40
  6. Step 6: Final answer
    x = 625,490.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.