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Finding the Fourth Proportional to 413,622.14, 570,710.02 and 241,461.98

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Solution

The fourth proportional to 413,622.14, 570,710.02 and 241,461.98 is: 333,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.14 : 570,710.02 = 241,461.98 : x
  2. Step 2: Convert to fraction form
    413,622.14/570,710.02 = 241,461.98/x
  3. Step 3: Cross multiply
    413,622.14x = 570,710.02 × 241,461.98
  4. Step 4: Simplify right side
    413,622.14x = 137,804,769,552.07
  5. Step 5: Solve for x
    x = 137,804,769,552.07/413,622.14
  6. Step 6: Final answer
    x = 333,165.84

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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.