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Finding the Fourth Proportional to 706,156.59, 974,258.88 and 400,208.94

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Solution

The fourth proportional to 706,156.59, 974,258.88 and 400,208.94 is: 552,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,156.59 : 974,258.88 = 400,208.94 : x
  2. Step 2: Convert to fraction form
    706,156.59/974,258.88 = 400,208.94/x
  3. Step 3: Cross multiply
    706,156.59x = 974,258.88 × 400,208.94
  4. Step 4: Simplify right side
    706,156.59x = 389,907,113,650.39
  5. Step 5: Solve for x
    x = 389,907,113,650.39/706,156.59
  6. Step 6: Final answer
    x = 552,153.90

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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.