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Finding the Fourth Proportional to 524,006.35, 785,448.83 and 271,032.10

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Solution

The fourth proportional to 524,006.35, 785,448.83 and 271,032.10 is: 406,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,006.35 : 785,448.83 = 271,032.10 : x
  2. Step 2: Convert to fraction form
    524,006.35/785,448.83 = 271,032.10/x
  3. Step 3: Cross multiply
    524,006.35x = 785,448.83 × 271,032.10
  4. Step 4: Simplify right side
    524,006.35x = 212,881,844,551.40
  5. Step 5: Solve for x
    x = 212,881,844,551.40/524,006.35
  6. Step 6: Final answer
    x = 406,258.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.