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Finding the Fourth Proportional to 503,965, 755,947.50 and 208,477

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Solution

The fourth proportional to 503,965, 755,947.50 and 208,477 is: 312,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,965 : 755,947.50 = 208,477 : x
  2. Step 2: Convert to fraction form
    503,965/755,947.50 = 208,477/x
  3. Step 3: Cross multiply
    503,965x = 755,947.50 × 208,477
  4. Step 4: Simplify right side
    503,965x = 157,597,666,957.50
  5. Step 5: Solve for x
    x = 157,597,666,957.50/503,965
  6. Step 6: Final answer
    x = 312,715.50

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1.5x scale

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.