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Finding the Fourth Proportional to 495,984.76, 744,072.90 and 211,671.16

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Solution

The fourth proportional to 495,984.76, 744,072.90 and 211,671.16 is: 317,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,984.76 : 744,072.90 = 211,671.16 : x
  2. Step 2: Convert to fraction form
    495,984.76/744,072.90 = 211,671.16/x
  3. Step 3: Cross multiply
    495,984.76x = 744,072.90 × 211,671.16
  4. Step 4: Simplify right side
    495,984.76x = 157,498,773,867.56
  5. Step 5: Solve for x
    x = 157,498,773,867.56/495,984.76
  6. Step 6: Final answer
    x = 317,547.61

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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.