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Finding the Fourth Proportional to 597,875.77, 896,857.40 and 242,896.51

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Solution

The fourth proportional to 597,875.77, 896,857.40 and 242,896.51 is: 364,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,875.77 : 896,857.40 = 242,896.51 : x
  2. Step 2: Convert to fraction form
    597,875.77/896,857.40 = 242,896.51/x
  3. Step 3: Cross multiply
    597,875.77x = 896,857.40 × 242,896.51
  4. Step 4: Simplify right side
    597,875.77x = 217,843,532,427.67
  5. Step 5: Solve for x
    x = 217,843,532,427.67/597,875.77
  6. Step 6: Final answer
    x = 364,362.54

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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.