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Finding the Fourth Proportional to 714,913.60, 986,604.96 and 409,040.32

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Solution

The fourth proportional to 714,913.60, 986,604.96 and 409,040.32 is: 564,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,913.60 : 986,604.96 = 409,040.32 : x
  2. Step 2: Convert to fraction form
    714,913.60/986,604.96 = 409,040.32/x
  3. Step 3: Cross multiply
    714,913.60x = 986,604.96 × 409,040.32
  4. Step 4: Simplify right side
    714,913.60x = 403,561,208,551.99
  5. Step 5: Solve for x
    x = 403,561,208,551.99/714,913.60
  6. Step 6: Final answer
    x = 564,489.48

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1.5x scale

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.