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Finding the Fourth Proportional to 413,054.70, 619,510.50 and 113,463.90

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Solution

The fourth proportional to 413,054.70, 619,510.50 and 113,463.90 is: 170,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,054.70 : 619,510.50 = 113,463.90 : x
  2. Step 2: Convert to fraction form
    413,054.70/619,510.50 = 113,463.90/x
  3. Step 3: Cross multiply
    413,054.70x = 619,510.50 × 113,463.90
  4. Step 4: Simplify right side
    413,054.70x = 70,292,077,420.95
  5. Step 5: Solve for x
    x = 70,292,077,420.95/413,054.70
  6. Step 6: Final answer
    x = 170,176.20

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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.