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Finding the Fourth Proportional to 517,907.07, 714,747.68 and 313,966.59

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Solution

The fourth proportional to 517,907.07, 714,747.68 and 313,966.59 is: 433,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,907.07 : 714,747.68 = 313,966.59 : x
  2. Step 2: Convert to fraction form
    517,907.07/714,747.68 = 313,966.59/x
  3. Step 3: Cross multiply
    517,907.07x = 714,747.68 × 313,966.59
  4. Step 4: Simplify right side
    517,907.07x = 224,406,891,800.01
  5. Step 5: Solve for x
    x = 224,406,891,800.01/517,907.07
  6. Step 6: Final answer
    x = 433,295.67

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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.