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Finding the Fourth Proportional to 417,038.81, 575,513.82 and 226,052.21

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Solution

The fourth proportional to 417,038.81, 575,513.82 and 226,052.21 is: 311,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,038.81 : 575,513.82 = 226,052.21 : x
  2. Step 2: Convert to fraction form
    417,038.81/575,513.82 = 226,052.21/x
  3. Step 3: Cross multiply
    417,038.81x = 575,513.82 × 226,052.21
  4. Step 4: Simplify right side
    417,038.81x = 130,096,166,888.71
  5. Step 5: Solve for x
    x = 130,096,166,888.71/417,038.81
  6. Step 6: Final answer
    x = 311,952.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.