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Finding the Fourth Proportional to 517,988.85, 714,857.47 and 314,059.30

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Solution

The fourth proportional to 517,988.85, 714,857.47 and 314,059.30 is: 433,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,988.85 : 714,857.47 = 314,059.30 : x
  2. Step 2: Convert to fraction form
    517,988.85/714,857.47 = 314,059.30/x
  3. Step 3: Cross multiply
    517,988.85x = 714,857.47 × 314,059.30
  4. Step 4: Simplify right side
    517,988.85x = 224,507,636,627.97
  5. Step 5: Solve for x
    x = 224,507,636,627.97/517,988.85
  6. Step 6: Final answer
    x = 433,421.76

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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.