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Finding the Fourth Proportional to 913,140, 1,260,137.52 and 510,732

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Solution

The fourth proportional to 913,140, 1,260,137.52 and 510,732 is: 704,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,140 : 1,260,137.52 = 510,732 : x
  2. Step 2: Convert to fraction form
    913,140/1,260,137.52 = 510,732/x
  3. Step 3: Cross multiply
    913,140x = 1,260,137.52 × 510,732
  4. Step 4: Simplify right side
    913,140x = 643,592,555,864.64
  5. Step 5: Solve for x
    x = 643,592,555,864.64/913,140
  6. Step 6: Final answer
    x = 704,812.58

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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.