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Finding the Fourth Proportional to 612,442.24, 845,144 and 340,509.76

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Solution

The fourth proportional to 612,442.24, 845,144 and 340,509.76 is: 469,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,442.24 : 845,144 = 340,509.76 : x
  2. Step 2: Convert to fraction form
    612,442.24/845,144 = 340,509.76/x
  3. Step 3: Cross multiply
    612,442.24x = 845,144 × 340,509.76
  4. Step 4: Simplify right side
    612,442.24x = 287,779,780,605.44
  5. Step 5: Solve for x
    x = 287,779,780,605.44/612,442.24
  6. Step 6: Final answer
    x = 469,888.85

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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.