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Finding the Fourth Proportional to 496,661.84, 745,017.36 and 141,728.16

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Solution

The fourth proportional to 496,661.84, 745,017.36 and 141,728.16 is: 212,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,661.84 : 745,017.36 = 141,728.16 : x
  2. Step 2: Convert to fraction form
    496,661.84/745,017.36 = 141,728.16/x
  3. Step 3: Cross multiply
    496,661.84x = 745,017.36 × 141,728.16
  4. Step 4: Simplify right side
    496,661.84x = 105,589,939,600.86
  5. Step 5: Solve for x
    x = 105,589,939,600.86/496,661.84
  6. Step 6: Final answer
    x = 212,599.26

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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.