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Finding the Fourth Proportional to 516,774.36, 712,704.54 and 335,307.48

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Solution

The fourth proportional to 516,774.36, 712,704.54 and 335,307.48 is: 462,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,774.36 : 712,704.54 = 335,307.48 : x
  2. Step 2: Convert to fraction form
    516,774.36/712,704.54 = 335,307.48/x
  3. Step 3: Cross multiply
    516,774.36x = 712,704.54 × 335,307.48
  4. Step 4: Simplify right side
    516,774.36x = 238,975,163,291.96
  5. Step 5: Solve for x
    x = 238,975,163,291.96/516,774.36
  6. Step 6: Final answer
    x = 462,436.18

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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.