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Finding the Fourth Proportional to 318,898.53, 478,348.40 and 299,412.36

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Solution

The fourth proportional to 318,898.53, 478,348.40 and 299,412.36 is: 449,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,898.53 : 478,348.40 = 299,412.36 : x
  2. Step 2: Convert to fraction form
    318,898.53/478,348.40 = 299,412.36/x
  3. Step 3: Cross multiply
    318,898.53x = 478,348.40 × 299,412.36
  4. Step 4: Simplify right side
    318,898.53x = 143,223,421,849.16
  5. Step 5: Solve for x
    x = 143,223,421,849.16/318,898.53
  6. Step 6: Final answer
    x = 449,119.10

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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.