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Finding the Fourth Proportional to 463,315.86, 694,980.63 and 182,830.50

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Solution

The fourth proportional to 463,315.86, 694,980.63 and 182,830.50 is: 274,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,315.86 : 694,980.63 = 182,830.50 : x
  2. Step 2: Convert to fraction form
    463,315.86/694,980.63 = 182,830.50/x
  3. Step 3: Cross multiply
    463,315.86x = 694,980.63 × 182,830.50
  4. Step 4: Simplify right side
    463,315.86x = 127,063,656,073.22
  5. Step 5: Solve for x
    x = 127,063,656,073.22/463,315.86
  6. Step 6: Final answer
    x = 274,248.45

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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.