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Finding the Fourth Proportional to 463,075.56, 639,026.82 and 261,875.88

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Solution

The fourth proportional to 463,075.56, 639,026.82 and 261,875.88 is: 361,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,075.56 : 639,026.82 = 261,875.88 : x
  2. Step 2: Convert to fraction form
    463,075.56/639,026.82 = 261,875.88/x
  3. Step 3: Cross multiply
    463,075.56x = 639,026.82 × 261,875.88
  4. Step 4: Simplify right side
    463,075.56x = 167,345,710,831.10
  5. Step 5: Solve for x
    x = 167,345,710,831.10/463,075.56
  6. Step 6: Final answer
    x = 361,378.84

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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.