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Finding the Fourth Proportional to 411,065.07, 567,361.29 and 249,886

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Solution

The fourth proportional to 411,065.07, 567,361.29 and 249,886 is: 344,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,065.07 : 567,361.29 = 249,886 : x
  2. Step 2: Convert to fraction form
    411,065.07/567,361.29 = 249,886/x
  3. Step 3: Cross multiply
    411,065.07x = 567,361.29 × 249,886
  4. Step 4: Simplify right side
    411,065.07x = 141,775,643,312.94
  5. Step 5: Solve for x
    x = 141,775,643,312.94/411,065.07
  6. Step 6: Final answer
    x = 344,898.30

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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.