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Finding the Fourth Proportional to 561,511.16, 842,174.46 and 201,607.51

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Solution

The fourth proportional to 561,511.16, 842,174.46 and 201,607.51 is: 302,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,511.16 : 842,174.46 = 201,607.51 : x
  2. Step 2: Convert to fraction form
    561,511.16/842,174.46 = 201,607.51/x
  3. Step 3: Cross multiply
    561,511.16x = 842,174.46 × 201,607.51
  4. Step 4: Simplify right side
    561,511.16x = 169,788,695,866.20
  5. Step 5: Solve for x
    x = 169,788,695,866.20/561,511.16
  6. Step 6: Final answer
    x = 302,378.13

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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.