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Finding the Fourth Proportional to 417,686.40, 576,407.73 and 226,699.83

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Solution

The fourth proportional to 417,686.40, 576,407.73 and 226,699.83 is: 312,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,686.40 : 576,407.73 = 226,699.83 : x
  2. Step 2: Convert to fraction form
    417,686.40/576,407.73 = 226,699.83/x
  3. Step 3: Cross multiply
    417,686.40x = 576,407.73 × 226,699.83
  4. Step 4: Simplify right side
    417,686.40x = 130,671,534,401.69
  5. Step 5: Solve for x
    x = 130,671,534,401.69/417,686.40
  6. Step 6: Final answer
    x = 312,846.04

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1.5x scale

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.