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Finding the Fourth Proportional to 409,603.52, 614,526.25 and 210,063.70

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Solution

The fourth proportional to 409,603.52, 614,526.25 and 210,063.70 is: 315,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,603.52 : 614,526.25 = 210,063.70 : x
  2. Step 2: Convert to fraction form
    409,603.52/614,526.25 = 210,063.70/x
  3. Step 3: Cross multiply
    409,603.52x = 614,526.25 × 210,063.70
  4. Step 4: Simplify right side
    409,603.52x = 129,089,657,822.13
  5. Step 5: Solve for x
    x = 129,089,657,822.13/409,603.52
  6. Step 6: Final answer
    x = 315,157.59

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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.