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Finding the Fourth Proportional to 476,442.76, 657,492.31 and 261,596.74

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Solution

The fourth proportional to 476,442.76, 657,492.31 and 261,596.74 is: 361,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,442.76 : 657,492.31 = 261,596.74 : x
  2. Step 2: Convert to fraction form
    476,442.76/657,492.31 = 261,596.74/x
  3. Step 3: Cross multiply
    476,442.76x = 657,492.31 × 261,596.74
  4. Step 4: Simplify right side
    476,442.76x = 171,997,844,871.07
  5. Step 5: Solve for x
    x = 171,997,844,871.07/476,442.76
  6. Step 6: Final answer
    x = 361,004.22

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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.