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Finding the Fourth Proportional to 496,724.94, 745,213.32 and 141,740.28

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Solution

The fourth proportional to 496,724.94, 745,213.32 and 141,740.28 is: 212,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,724.94 : 745,213.32 = 141,740.28 : x
  2. Step 2: Convert to fraction form
    496,724.94/745,213.32 = 141,740.28/x
  3. Step 3: Cross multiply
    496,724.94x = 745,213.32 × 141,740.28
  4. Step 4: Simplify right side
    496,724.94x = 105,626,744,636.53
  5. Step 5: Solve for x
    x = 105,626,744,636.53/496,724.94
  6. Step 6: Final answer
    x = 212,646.35

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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.