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Finding the Fourth Proportional to 418,714.32, 577,931.64 and 237,534.24

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Solution

The fourth proportional to 418,714.32, 577,931.64 and 237,534.24 is: 327,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,714.32 : 577,931.64 = 237,534.24 : x
  2. Step 2: Convert to fraction form
    418,714.32/577,931.64 = 237,534.24/x
  3. Step 3: Cross multiply
    418,714.32x = 577,931.64 × 237,534.24
  4. Step 4: Simplify right side
    418,714.32x = 137,278,552,879.35
  5. Step 5: Solve for x
    x = 137,278,552,879.35/418,714.32
  6. Step 6: Final answer
    x = 327,857.32

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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.