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Finding the Fourth Proportional to 369,744.30, 510,235.38 and 208,597.20

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Solution

The fourth proportional to 369,744.30, 510,235.38 and 208,597.20 is: 287,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,744.30 : 510,235.38 = 208,597.20 : x
  2. Step 2: Convert to fraction form
    369,744.30/510,235.38 = 208,597.20/x
  3. Step 3: Cross multiply
    369,744.30x = 510,235.38 × 208,597.20
  4. Step 4: Simplify right side
    369,744.30x = 106,433,671,608.94
  5. Step 5: Solve for x
    x = 106,433,671,608.94/369,744.30
  6. Step 6: Final answer
    x = 287,857.50

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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.