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Finding the Fourth Proportional to 314,037.46, 470,780.50 and 124,631.50

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Solution

The fourth proportional to 314,037.46, 470,780.50 and 124,631.50 is: 186,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,037.46 : 470,780.50 = 124,631.50 : x
  2. Step 2: Convert to fraction form
    314,037.46/470,780.50 = 124,631.50/x
  3. Step 3: Cross multiply
    314,037.46x = 470,780.50 × 124,631.50
  4. Step 4: Simplify right side
    314,037.46x = 58,674,079,885.75
  5. Step 5: Solve for x
    x = 58,674,079,885.75/314,037.46
  6. Step 6: Final answer
    x = 186,837.84

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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.