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Finding the Fourth Proportional to 560,686, 841,378.92 and 228,262

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Solution

The fourth proportional to 560,686, 841,378.92 and 228,262 is: 342,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,686 : 841,378.92 = 228,262 : x
  2. Step 2: Convert to fraction form
    560,686/841,378.92 = 228,262/x
  3. Step 3: Cross multiply
    560,686x = 841,378.92 × 228,262
  4. Step 4: Simplify right side
    560,686x = 192,054,835,037.04
  5. Step 5: Solve for x
    x = 192,054,835,037.04/560,686
  6. Step 6: Final answer
    x = 342,535.46

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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.