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Finding the Fourth Proportional to 596,543.98, 894,956.13 and 197,184.77

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Solution

The fourth proportional to 596,543.98, 894,956.13 and 197,184.77 is: 295,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,543.98 : 894,956.13 = 197,184.77 : x
  2. Step 2: Convert to fraction form
    596,543.98/894,956.13 = 197,184.77/x
  3. Step 3: Cross multiply
    596,543.98x = 894,956.13 × 197,184.77
  4. Step 4: Simplify right side
    596,543.98x = 176,471,718,654.14
  5. Step 5: Solve for x
    x = 176,471,718,654.14/596,543.98
  6. Step 6: Final answer
    x = 295,823.48

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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.