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Finding the Fourth Proportional to 413,685.36, 570,885.48 and 234,837.36

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Solution

The fourth proportional to 413,685.36, 570,885.48 and 234,837.36 is: 324,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,685.36 : 570,885.48 = 234,837.36 : x
  2. Step 2: Convert to fraction form
    413,685.36/570,885.48 = 234,837.36/x
  3. Step 3: Cross multiply
    413,685.36x = 570,885.48 × 234,837.36
  4. Step 4: Simplify right side
    413,685.36x = 134,065,238,985.53
  5. Step 5: Solve for x
    x = 134,065,238,985.53/413,685.36
  6. Step 6: Final answer
    x = 324,075.38

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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.