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Finding the Fourth Proportional to 596,658.68, 894,899.16 and 197,301.54

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Solution

The fourth proportional to 596,658.68, 894,899.16 and 197,301.54 is: 295,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,658.68 : 894,899.16 = 197,301.54 : x
  2. Step 2: Convert to fraction form
    596,658.68/894,899.16 = 197,301.54/x
  3. Step 3: Cross multiply
    596,658.68x = 894,899.16 × 197,301.54
  4. Step 4: Simplify right side
    596,658.68x = 176,564,982,412.71
  5. Step 5: Solve for x
    x = 176,564,982,412.71/596,658.68
  6. Step 6: Final answer
    x = 295,922.93

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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.