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Finding the Fourth Proportional to 314,724.87, 434,320.38 and 171,484.94

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Solution

The fourth proportional to 314,724.87, 434,320.38 and 171,484.94 is: 236,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,724.87 : 434,320.38 = 171,484.94 : x
  2. Step 2: Convert to fraction form
    314,724.87/434,320.38 = 171,484.94/x
  3. Step 3: Cross multiply
    314,724.87x = 434,320.38 × 171,484.94
  4. Step 4: Simplify right side
    314,724.87x = 74,479,402,133.48
  5. Step 5: Solve for x
    x = 74,479,402,133.48/314,724.87
  6. Step 6: Final answer
    x = 236,649.24

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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.