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Finding the Fourth Proportional to 314,881.72, 470,315.78 and 284,849.76

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Solution

The fourth proportional to 314,881.72, 470,315.78 and 284,849.76 is: 425,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,881.72 : 470,315.78 = 284,849.76 : x
  2. Step 2: Convert to fraction form
    314,881.72/470,315.78 = 284,849.76/x
  3. Step 3: Cross multiply
    314,881.72x = 470,315.78 × 284,849.76
  4. Step 4: Simplify right side
    314,881.72x = 133,969,337,057.21
  5. Step 5: Solve for x
    x = 133,969,337,057.21/314,881.72
  6. Step 6: Final answer
    x = 425,459.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.