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Finding the Fourth Proportional to 517,913.33, 714,756.32 and 313,972.84

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Solution

The fourth proportional to 517,913.33, 714,756.32 and 313,972.84 is: 433,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,913.33 : 714,756.32 = 313,972.84 : x
  2. Step 2: Convert to fraction form
    517,913.33/714,756.32 = 313,972.84/x
  3. Step 3: Cross multiply
    517,913.33x = 714,756.32 × 313,972.84
  4. Step 4: Simplify right side
    517,913.33x = 224,414,072,199.33
  5. Step 5: Solve for x
    x = 224,414,072,199.33/517,913.33
  6. Step 6: Final answer
    x = 433,304.30

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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.