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Finding the Fourth Proportional to 545,101.80, 817,689.15 and 185,267.40

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Solution

The fourth proportional to 545,101.80, 817,689.15 and 185,267.40 is: 277,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,101.80 : 817,689.15 = 185,267.40 : x
  2. Step 2: Convert to fraction form
    545,101.80/817,689.15 = 185,267.40/x
  3. Step 3: Cross multiply
    545,101.80x = 817,689.15 × 185,267.40
  4. Step 4: Simplify right side
    545,101.80x = 151,491,142,828.71
  5. Step 5: Solve for x
    x = 151,491,142,828.71/545,101.80
  6. Step 6: Final answer
    x = 277,913.49

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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.