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Finding the Fourth Proportional to 524,181.16, 784,988.70 and 243,778.60

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Solution

The fourth proportional to 524,181.16, 784,988.70 and 243,778.60 is: 365,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,181.16 : 784,988.70 = 243,778.60 : x
  2. Step 2: Convert to fraction form
    524,181.16/784,988.70 = 243,778.60/x
  3. Step 3: Cross multiply
    524,181.16x = 784,988.70 × 243,778.60
  4. Step 4: Simplify right side
    524,181.16x = 191,363,446,301.82
  5. Step 5: Solve for x
    x = 191,363,446,301.82/524,181.16
  6. Step 6: Final answer
    x = 365,071.20

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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.