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Finding the Fourth Proportional to 547,901.90, 821,464.05 and 210,812.30

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Solution

The fourth proportional to 547,901.90, 821,464.05 and 210,812.30 is: 316,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,901.90 : 821,464.05 = 210,812.30 : x
  2. Step 2: Convert to fraction form
    547,901.90/821,464.05 = 210,812.30/x
  3. Step 3: Cross multiply
    547,901.90x = 821,464.05 × 210,812.30
  4. Step 4: Simplify right side
    547,901.90x = 173,174,725,747.82
  5. Step 5: Solve for x
    x = 173,174,725,747.82/547,901.90
  6. Step 6: Final answer
    x = 316,068.85

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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.