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Finding the Fourth Proportional to 601,765.24, 830,428.60 and 326,117.17

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Solution

The fourth proportional to 601,765.24, 830,428.60 and 326,117.17 is: 450,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,765.24 : 830,428.60 = 326,117.17 : x
  2. Step 2: Convert to fraction form
    601,765.24/830,428.60 = 326,117.17/x
  3. Step 3: Cross multiply
    601,765.24x = 830,428.60 × 326,117.17
  4. Step 4: Simplify right side
    601,765.24x = 270,817,024,919.06
  5. Step 5: Solve for x
    x = 270,817,024,919.06/601,765.24
  6. Step 6: Final answer
    x = 450,037.67

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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.