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Finding the Fourth Proportional to 413,730, 570,954.96 and 229,985.82

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Solution

The fourth proportional to 413,730, 570,954.96 and 229,985.82 is: 317,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,730 : 570,954.96 = 229,985.82 : x
  2. Step 2: Convert to fraction form
    413,730/570,954.96 = 229,985.82/x
  3. Step 3: Cross multiply
    413,730x = 570,954.96 × 229,985.82
  4. Step 4: Simplify right side
    413,730x = 131,311,544,658.67
  5. Step 5: Solve for x
    x = 131,311,544,658.67/413,730
  6. Step 6: Final answer
    x = 317,384.63

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