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Finding the Fourth Proportional to 299,407.70, 448,455.45 and 260,041.70

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Solution

The fourth proportional to 299,407.70, 448,455.45 and 260,041.70 is: 389,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,407.70 : 448,455.45 = 260,041.70 : x
  2. Step 2: Convert to fraction form
    299,407.70/448,455.45 = 260,041.70/x
  3. Step 3: Cross multiply
    299,407.70x = 448,455.45 × 260,041.70
  4. Step 4: Simplify right side
    299,407.70x = 116,617,117,592.27
  5. Step 5: Solve for x
    x = 116,617,117,592.27/299,407.70
  6. Step 6: Final answer
    x = 389,492.71

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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.