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Finding the Fourth Proportional to 556,212.64, 767,575.12 and 301,563.94

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Solution

The fourth proportional to 556,212.64, 767,575.12 and 301,563.94 is: 416,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,212.64 : 767,575.12 = 301,563.94 : x
  2. Step 2: Convert to fraction form
    556,212.64/767,575.12 = 301,563.94/x
  3. Step 3: Cross multiply
    556,212.64x = 767,575.12 × 301,563.94
  4. Step 4: Simplify right side
    556,212.64x = 231,472,977,433.17
  5. Step 5: Solve for x
    x = 231,472,977,433.17/556,212.64
  6. Step 6: Final answer
    x = 416,159.15

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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.