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Finding the Fourth Proportional to 357,808.71, 493,767.60 and 194,461.35

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Solution

The fourth proportional to 357,808.71, 493,767.60 and 194,461.35 is: 268,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,808.71 : 493,767.60 = 194,461.35 : x
  2. Step 2: Convert to fraction form
    357,808.71/493,767.60 = 194,461.35/x
  3. Step 3: Cross multiply
    357,808.71x = 493,767.60 × 194,461.35
  4. Step 4: Simplify right side
    357,808.71x = 96,018,714,082.26
  5. Step 5: Solve for x
    x = 96,018,714,082.26/357,808.71
  6. Step 6: Final answer
    x = 268,352.09

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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.