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Finding the Fourth Proportional to 517,466.40, 713,718.72 and 456,930.24

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Solution

The fourth proportional to 517,466.40, 713,718.72 and 456,930.24 is: 630,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,466.40 : 713,718.72 = 456,930.24 : x
  2. Step 2: Convert to fraction form
    517,466.40/713,718.72 = 456,930.24/x
  3. Step 3: Cross multiply
    517,466.40x = 713,718.72 × 456,930.24
  4. Step 4: Simplify right side
    517,466.40x = 326,119,666,022.09
  5. Step 5: Solve for x
    x = 326,119,666,022.09/517,466.40
  6. Step 6: Final answer
    x = 630,223.85

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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.