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Finding the Fourth Proportional to 431,040, 594,792.60 and 240,071.16

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Solution

The fourth proportional to 431,040, 594,792.60 and 240,071.16 is: 331,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,040 : 594,792.60 = 240,071.16 : x
  2. Step 2: Convert to fraction form
    431,040/594,792.60 = 240,071.16/x
  3. Step 3: Cross multiply
    431,040x = 594,792.60 × 240,071.16
  4. Step 4: Simplify right side
    431,040x = 142,792,549,441.42
  5. Step 5: Solve for x
    x = 142,792,549,441.42/431,040
  6. Step 6: Final answer
    x = 331,274.47

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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.