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Finding the Fourth Proportional to 610,829.91, 842,929.20 and 335,186.91

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Solution

The fourth proportional to 610,829.91, 842,929.20 and 335,186.91 is: 462,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,829.91 : 842,929.20 = 335,186.91 : x
  2. Step 2: Convert to fraction form
    610,829.91/842,929.20 = 335,186.91/x
  3. Step 3: Cross multiply
    610,829.91x = 842,929.20 × 335,186.91
  4. Step 4: Simplify right side
    610,829.91x = 282,538,833,896.77
  5. Step 5: Solve for x
    x = 282,538,833,896.77/610,829.91
  6. Step 6: Final answer
    x = 462,549.11

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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.