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Finding the Fourth Proportional to 596,570.64, 823,267.59 and 328,298.64

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Solution

The fourth proportional to 596,570.64, 823,267.59 and 328,298.64 is: 453,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,570.64 : 823,267.59 = 328,298.64 : x
  2. Step 2: Convert to fraction form
    596,570.64/823,267.59 = 328,298.64/x
  3. Step 3: Cross multiply
    596,570.64x = 823,267.59 × 328,298.64
  4. Step 4: Simplify right side
    596,570.64x = 270,277,630,153.08
  5. Step 5: Solve for x
    x = 270,277,630,153.08/596,570.64
  6. Step 6: Final answer
    x = 453,052.18

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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.