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Finding the Fourth Proportional to 413,625.24, 570,714.30 and 241,465.08

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Solution

The fourth proportional to 413,625.24, 570,714.30 and 241,465.08 is: 333,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,625.24 : 570,714.30 = 241,465.08 : x
  2. Step 2: Convert to fraction form
    413,625.24/570,714.30 = 241,465.08/x
  3. Step 3: Cross multiply
    413,625.24x = 570,714.30 × 241,465.08
  4. Step 4: Simplify right side
    413,625.24x = 137,807,574,106.64
  5. Step 5: Solve for x
    x = 137,807,574,106.64/413,625.24
  6. Step 6: Final answer
    x = 333,170.13

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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.