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Finding the Fourth Proportional to 413,123.16, 619,688.19 and 113,620.16

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Solution

The fourth proportional to 413,123.16, 619,688.19 and 113,620.16 is: 170,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,123.16 : 619,688.19 = 113,620.16 : x
  2. Step 2: Convert to fraction form
    413,123.16/619,688.19 = 113,620.16/x
  3. Step 3: Cross multiply
    413,123.16x = 619,688.19 × 113,620.16
  4. Step 4: Simplify right side
    413,123.16x = 70,409,068,199.47
  5. Step 5: Solve for x
    x = 70,409,068,199.47/413,123.16
  6. Step 6: Final answer
    x = 170,431.18

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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.