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Finding the Fourth Proportional to 413,305.42, 570,361.19 and 232,017.70

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Solution

The fourth proportional to 413,305.42, 570,361.19 and 232,017.70 is: 320,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,305.42 : 570,361.19 = 232,017.70 : x
  2. Step 2: Convert to fraction form
    413,305.42/570,361.19 = 232,017.70/x
  3. Step 3: Cross multiply
    413,305.42x = 570,361.19 × 232,017.70
  4. Step 4: Simplify right side
    413,305.42x = 132,333,891,473.06
  5. Step 5: Solve for x
    x = 132,333,891,473.06/413,305.42
  6. Step 6: Final answer
    x = 320,184.26

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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.