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Finding the Fourth Proportional to 377,477.90, 565,713.51 and 140,582.06

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Solution

The fourth proportional to 377,477.90, 565,713.51 and 140,582.06 is: 210,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,477.90 : 565,713.51 = 140,582.06 : x
  2. Step 2: Convert to fraction form
    377,477.90/565,713.51 = 140,582.06/x
  3. Step 3: Cross multiply
    377,477.90x = 565,713.51 × 140,582.06
  4. Step 4: Simplify right side
    377,477.90x = 79,529,170,605.63
  5. Step 5: Solve for x
    x = 79,529,170,605.63/377,477.90
  6. Step 6: Final answer
    x = 210,685.63

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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.