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Finding the Fourth Proportional to 530,907.90, 732,627 and 301,435.14

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Solution

The fourth proportional to 530,907.90, 732,627 and 301,435.14 is: 415,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,907.90 : 732,627 = 301,435.14 : x
  2. Step 2: Convert to fraction form
    530,907.90/732,627 = 301,435.14/x
  3. Step 3: Cross multiply
    530,907.90x = 732,627 × 301,435.14
  4. Step 4: Simplify right side
    530,907.90x = 220,839,522,312.78
  5. Step 5: Solve for x
    x = 220,839,522,312.78/530,907.90
  6. Step 6: Final answer
    x = 415,965.79

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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.