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Finding the Fourth Proportional to 299,411.70, 448,461.45 and 260,045.70

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Solution

The fourth proportional to 299,411.70, 448,461.45 and 260,045.70 is: 389,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,411.70 : 448,461.45 = 260,045.70 : x
  2. Step 2: Convert to fraction form
    299,411.70/448,461.45 = 260,045.70/x
  3. Step 3: Cross multiply
    299,411.70x = 448,461.45 × 260,045.70
  4. Step 4: Simplify right side
    299,411.70x = 116,620,471,688.27
  5. Step 5: Solve for x
    x = 116,620,471,688.27/299,411.70
  6. Step 6: Final answer
    x = 389,498.71

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1.5x scale

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.