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Finding the Fourth Proportional to 705,881.07, 974,153.07 and 400,016.79

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Solution

The fourth proportional to 705,881.07, 974,153.07 and 400,016.79 is: 552,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,881.07 : 974,153.07 = 400,016.79 : x
  2. Step 2: Convert to fraction form
    705,881.07/974,153.07 = 400,016.79/x
  3. Step 3: Cross multiply
    705,881.07x = 974,153.07 × 400,016.79
  4. Step 4: Simplify right side
    705,881.07x = 389,677,584,030.05
  5. Step 5: Solve for x
    x = 389,677,584,030.05/705,881.07
  6. Step 6: Final answer
    x = 552,044.25

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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.