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Finding the Fourth Proportional to 314,980.70, 434,710.26 and 179,035.08

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Solution

The fourth proportional to 314,980.70, 434,710.26 and 179,035.08 is: 247,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.70 : 434,710.26 = 179,035.08 : x
  2. Step 2: Convert to fraction form
    314,980.70/434,710.26 = 179,035.08/x
  3. Step 3: Cross multiply
    314,980.70x = 434,710.26 × 179,035.08
  4. Step 4: Simplify right side
    314,980.70x = 77,828,386,175.92
  5. Step 5: Solve for x
    x = 77,828,386,175.92/314,980.70
  6. Step 6: Final answer
    x = 247,089.38

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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.