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Finding the Fourth Proportional to 493,319, 680,785.14 and 266,969.36

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Solution

The fourth proportional to 493,319, 680,785.14 and 266,969.36 is: 368,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,319 : 680,785.14 = 266,969.36 : x
  2. Step 2: Convert to fraction form
    493,319/680,785.14 = 266,969.36/x
  3. Step 3: Cross multiply
    493,319x = 680,785.14 × 266,969.36
  4. Step 4: Simplify right side
    493,319x = 181,748,773,123.31
  5. Step 5: Solve for x
    x = 181,748,773,123.31/493,319
  6. Step 6: Final answer
    x = 368,420.38

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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.