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Finding the Fourth Proportional to 912,258.84, 1,258,914.06 and 509,850.84

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Solution

The fourth proportional to 912,258.84, 1,258,914.06 and 509,850.84 is: 703,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,258.84 : 1,258,914.06 = 509,850.84 : x
  2. Step 2: Convert to fraction form
    912,258.84/1,258,914.06 = 509,850.84/x
  3. Step 3: Cross multiply
    912,258.84x = 1,258,914.06 × 509,850.84
  4. Step 4: Simplify right side
    912,258.84x = 641,858,390,978.81
  5. Step 5: Solve for x
    x = 641,858,390,978.81/912,258.84
  6. Step 6: Final answer
    x = 703,592.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.