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Finding the Fourth Proportional to 517,461.08, 775,909.89 and 180,411.08

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Solution

The fourth proportional to 517,461.08, 775,909.89 and 180,411.08 is: 270,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,461.08 : 775,909.89 = 180,411.08 : x
  2. Step 2: Convert to fraction form
    517,461.08/775,909.89 = 180,411.08/x
  3. Step 3: Cross multiply
    517,461.08x = 775,909.89 × 180,411.08
  4. Step 4: Simplify right side
    517,461.08x = 139,982,737,358.03
  5. Step 5: Solve for x
    x = 139,982,737,358.03/517,461.08
  6. Step 6: Final answer
    x = 270,518.39

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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.