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Finding the Fourth Proportional to 524,643.51, 785,336.23 and 284,160.14

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Solution

The fourth proportional to 524,643.51, 785,336.23 and 284,160.14 is: 425,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,643.51 : 785,336.23 = 284,160.14 : x
  2. Step 2: Convert to fraction form
    524,643.51/785,336.23 = 284,160.14/x
  3. Step 3: Cross multiply
    524,643.51x = 785,336.23 × 284,160.14
  4. Step 4: Simplify right side
    524,643.51x = 223,161,253,063.87
  5. Step 5: Solve for x
    x = 223,161,253,063.87/524,643.51
  6. Step 6: Final answer
    x = 425,357.88

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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.