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Finding the Fourth Proportional to 319,063.10, 478,143.44 and 176,970.96

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Solution

The fourth proportional to 319,063.10, 478,143.44 and 176,970.96 is: 265,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,063.10 : 478,143.44 = 176,970.96 : x
  2. Step 2: Convert to fraction form
    319,063.10/478,143.44 = 176,970.96/x
  3. Step 3: Cross multiply
    319,063.10x = 478,143.44 × 176,970.96
  4. Step 4: Simplify right side
    319,063.10x = 84,617,503,594.50
  5. Step 5: Solve for x
    x = 84,617,503,594.50/319,063.10
  6. Step 6: Final answer
    x = 265,206.17

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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.