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Finding the Fourth Proportional to 413,695.62, 570,961.71 and 252,643.32

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Solution

The fourth proportional to 413,695.62, 570,961.71 and 252,643.32 is: 348,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,695.62 : 570,961.71 = 252,643.32 : x
  2. Step 2: Convert to fraction form
    413,695.62/570,961.71 = 252,643.32/x
  3. Step 3: Cross multiply
    413,695.62x = 570,961.71 × 252,643.32
  4. Step 4: Simplify right side
    413,695.62x = 144,249,662,007.28
  5. Step 5: Solve for x
    x = 144,249,662,007.28/413,695.62
  6. Step 6: Final answer
    x = 348,685.49

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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.