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Finding the Fourth Proportional to 517,996.15, 714,868.55 and 314,065.69

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Solution

The fourth proportional to 517,996.15, 714,868.55 and 314,065.69 is: 433,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,996.15 : 714,868.55 = 314,065.69 : x
  2. Step 2: Convert to fraction form
    517,996.15/714,868.55 = 314,065.69/x
  3. Step 3: Cross multiply
    517,996.15x = 714,868.55 × 314,065.69
  4. Step 4: Simplify right side
    517,996.15x = 224,515,684,415.05
  5. Step 5: Solve for x
    x = 224,515,684,415.05/517,996.15
  6. Step 6: Final answer
    x = 433,431.18

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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.