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Finding the Fourth Proportional to 914,054, 1,371,605.64 and 713,812.24

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Solution

The fourth proportional to 914,054, 1,371,605.64 and 713,812.24 is: 1,071,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,054 : 1,371,605.64 = 713,812.24 : x
  2. Step 2: Convert to fraction form
    914,054/1,371,605.64 = 713,812.24/x
  3. Step 3: Cross multiply
    914,054x = 1,371,605.64 × 713,812.24
  4. Step 4: Simplify right side
    914,054x = 979,068,894,285.03
  5. Step 5: Solve for x
    x = 979,068,894,285.03/914,054
  6. Step 6: Final answer
    x = 1,071,128.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.