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Finding the Fourth Proportional to 440,058.64, 659,384.82 and 282,156.16

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Solution

The fourth proportional to 440,058.64, 659,384.82 and 282,156.16 is: 422,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,058.64 : 659,384.82 = 282,156.16 : x
  2. Step 2: Convert to fraction form
    440,058.64/659,384.82 = 282,156.16/x
  3. Step 3: Cross multiply
    440,058.64x = 659,384.82 × 282,156.16
  4. Step 4: Simplify right side
    440,058.64x = 186,049,488,773.49
  5. Step 5: Solve for x
    x = 186,049,488,773.49/440,058.64
  6. Step 6: Final answer
    x = 422,783.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.