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Finding the Fourth Proportional to 524,615.90, 785,109.45 and 314,404.70

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Solution

The fourth proportional to 524,615.90, 785,109.45 and 314,404.70 is: 470,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,615.90 : 785,109.45 = 314,404.70 : x
  2. Step 2: Convert to fraction form
    524,615.90/785,109.45 = 314,404.70/x
  3. Step 3: Cross multiply
    524,615.90x = 785,109.45 × 314,404.70
  4. Step 4: Simplify right side
    524,615.90x = 246,842,101,094.42
  5. Step 5: Solve for x
    x = 246,842,101,094.42/524,615.90
  6. Step 6: Final answer
    x = 470,519.67

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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.