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Finding the Fourth Proportional to 317,054.92, 475,644.54 and 117,376.84

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Solution

The fourth proportional to 317,054.92, 475,644.54 and 117,376.84 is: 176,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,054.92 : 475,644.54 = 117,376.84 : x
  2. Step 2: Convert to fraction form
    317,054.92/475,644.54 = 117,376.84/x
  3. Step 3: Cross multiply
    317,054.92x = 475,644.54 × 117,376.84
  4. Step 4: Simplify right side
    317,054.92x = 55,829,653,068.45
  5. Step 5: Solve for x
    x = 55,829,653,068.45/317,054.92
  6. Step 6: Final answer
    x = 176,088.27

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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.