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Finding the Fourth Proportional to 413,622.19, 570,710.08 and 241,462.02

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Solution

The fourth proportional to 413,622.19, 570,710.08 and 241,462.02 is: 333,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.19 : 570,710.08 = 241,462.02 : x
  2. Step 2: Convert to fraction form
    413,622.19/570,710.08 = 241,462.02/x
  3. Step 3: Cross multiply
    413,622.19x = 570,710.08 × 241,462.02
  4. Step 4: Simplify right side
    413,622.19x = 137,804,807,543.85
  5. Step 5: Solve for x
    x = 137,804,807,543.85/413,622.19
  6. Step 6: Final answer
    x = 333,165.90

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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.