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Finding the Fourth Proportional to 700,242.32, 966,279.84 and 413,708.06

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Solution

The fourth proportional to 700,242.32, 966,279.84 and 413,708.06 is: 570,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,242.32 : 966,279.84 = 413,708.06 : x
  2. Step 2: Convert to fraction form
    700,242.32/966,279.84 = 413,708.06/x
  3. Step 3: Cross multiply
    700,242.32x = 966,279.84 × 413,708.06
  4. Step 4: Simplify right side
    700,242.32x = 399,757,758,023.51
  5. Step 5: Solve for x
    x = 399,757,758,023.51/700,242.32
  6. Step 6: Final answer
    x = 570,884.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.