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Finding the Fourth Proportional to 601,269.38, 829,353 and 386,680.94

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Solution

The fourth proportional to 601,269.38, 829,353 and 386,680.94 is: 533,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,269.38 : 829,353 = 386,680.94 : x
  2. Step 2: Convert to fraction form
    601,269.38/829,353 = 386,680.94/x
  3. Step 3: Cross multiply
    601,269.38x = 829,353 × 386,680.94
  4. Step 4: Simplify right side
    601,269.38x = 320,694,997,631.82
  5. Step 5: Solve for x
    x = 320,694,997,631.82/601,269.38
  6. Step 6: Final answer
    x = 533,363.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.