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Finding the Fourth Proportional to 515,710, 711,692.06 and 289,372.24

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Solution

The fourth proportional to 515,710, 711,692.06 and 289,372.24 is: 399,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,710 : 711,692.06 = 289,372.24 : x
  2. Step 2: Convert to fraction form
    515,710/711,692.06 = 289,372.24/x
  3. Step 3: Cross multiply
    515,710x = 711,692.06 × 289,372.24
  4. Step 4: Simplify right side
    515,710x = 205,943,925,592.41
  5. Step 5: Solve for x
    x = 205,943,925,592.41/515,710
  6. Step 6: Final answer
    x = 399,340.57

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1.5x scale

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.