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Finding the Fourth Proportional to 913,138, 1,260,134.76 and 510,730

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Solution

The fourth proportional to 913,138, 1,260,134.76 and 510,730 is: 704,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,138 : 1,260,134.76 = 510,730 : x
  2. Step 2: Convert to fraction form
    913,138/1,260,134.76 = 510,730/x
  3. Step 3: Cross multiply
    913,138x = 1,260,134.76 × 510,730
  4. Step 4: Simplify right side
    913,138x = 643,588,625,974.80
  5. Step 5: Solve for x
    x = 643,588,625,974.80/913,138
  6. Step 6: Final answer
    x = 704,809.82

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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.