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Finding the Fourth Proportional to 510,914.45, 705,009 and 314,649.88

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Solution

The fourth proportional to 510,914.45, 705,009 and 314,649.88 is: 434,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,914.45 : 705,009 = 314,649.88 : x
  2. Step 2: Convert to fraction form
    510,914.45/705,009 = 314,649.88/x
  3. Step 3: Cross multiply
    510,914.45x = 705,009 × 314,649.88
  4. Step 4: Simplify right side
    510,914.45x = 221,830,997,248.92
  5. Step 5: Solve for x
    x = 221,830,997,248.92/510,914.45
  6. Step 6: Final answer
    x = 434,184.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.