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Finding the Fourth Proportional to 497,482.36, 746,238.15 and 137,656.16

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Solution

The fourth proportional to 497,482.36, 746,238.15 and 137,656.16 is: 206,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,482.36 : 746,238.15 = 137,656.16 : x
  2. Step 2: Convert to fraction form
    497,482.36/746,238.15 = 137,656.16/x
  3. Step 3: Cross multiply
    497,482.36x = 746,238.15 × 137,656.16
  4. Step 4: Simplify right side
    497,482.36x = 102,724,277,241.71
  5. Step 5: Solve for x
    x = 102,724,277,241.71/497,482.36
  6. Step 6: Final answer
    x = 206,488.28

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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.