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Finding the Fourth Proportional to 508,670, 763,141.08 and 176,246

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Solution

The fourth proportional to 508,670, 763,141.08 and 176,246 is: 264,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,670 : 763,141.08 = 176,246 : x
  2. Step 2: Convert to fraction form
    508,670/763,141.08 = 176,246/x
  3. Step 3: Cross multiply
    508,670x = 763,141.08 × 176,246
  4. Step 4: Simplify right side
    508,670x = 134,500,562,785.68
  5. Step 5: Solve for x
    x = 134,500,562,785.68/508,670
  6. Step 6: Final answer
    x = 264,416.15

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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.