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Finding the Fourth Proportional to 413,411.85, 619,461.68 and 273,006.45

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Solution

The fourth proportional to 413,411.85, 619,461.68 and 273,006.45 is: 409,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,411.85 : 619,461.68 = 273,006.45 : x
  2. Step 2: Convert to fraction form
    413,411.85/619,461.68 = 273,006.45/x
  3. Step 3: Cross multiply
    413,411.85x = 619,461.68 × 273,006.45
  4. Step 4: Simplify right side
    413,411.85x = 169,117,032,802.80
  5. Step 5: Solve for x
    x = 169,117,032,802.80/413,411.85
  6. Step 6: Final answer
    x = 409,076.40

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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.