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Finding the Fourth Proportional to 397,534.08, 596,577.60 and 256,944

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Solution

The fourth proportional to 397,534.08, 596,577.60 and 256,944 is: 385,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,534.08 : 596,577.60 = 256,944 : x
  2. Step 2: Convert to fraction form
    397,534.08/596,577.60 = 256,944/x
  3. Step 3: Cross multiply
    397,534.08x = 596,577.60 × 256,944
  4. Step 4: Simplify right side
    397,534.08x = 153,287,034,854.40
  5. Step 5: Solve for x
    x = 153,287,034,854.40/397,534.08
  6. Step 6: Final answer
    x = 385,594.70

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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.