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Finding the Fourth Proportional to 524,194.60, 785,139.36 and 433,206.10

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Solution

The fourth proportional to 524,194.60, 785,139.36 and 433,206.10 is: 648,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,194.60 : 785,139.36 = 433,206.10 : x
  2. Step 2: Convert to fraction form
    524,194.60/785,139.36 = 433,206.10/x
  3. Step 3: Cross multiply
    524,194.60x = 785,139.36 × 433,206.10
  4. Step 4: Simplify right side
    524,194.60x = 340,127,160,102.10
  5. Step 5: Solve for x
    x = 340,127,160,102.10/524,194.60
  6. Step 6: Final answer
    x = 648,856.67

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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.