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Finding the Fourth Proportional to 517,284.12, 714,180.06 and 354,213.51

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Solution

The fourth proportional to 517,284.12, 714,180.06 and 354,213.51 is: 489,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,284.12 : 714,180.06 = 354,213.51 : x
  2. Step 2: Convert to fraction form
    517,284.12/714,180.06 = 354,213.51/x
  3. Step 3: Cross multiply
    517,284.12x = 714,180.06 × 354,213.51
  4. Step 4: Simplify right side
    517,284.12x = 252,972,225,824.61
  5. Step 5: Solve for x
    x = 252,972,225,824.61/517,284.12
  6. Step 6: Final answer
    x = 489,039.23

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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.