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Finding the Fourth Proportional to 437,514.10, 656,271.15 and 400,116.40

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Solution

The fourth proportional to 437,514.10, 656,271.15 and 400,116.40 is: 600,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,514.10 : 656,271.15 = 400,116.40 : x
  2. Step 2: Convert to fraction form
    437,514.10/656,271.15 = 400,116.40/x
  3. Step 3: Cross multiply
    437,514.10x = 656,271.15 × 400,116.40
  4. Step 4: Simplify right side
    437,514.10x = 262,584,849,961.86
  5. Step 5: Solve for x
    x = 262,584,849,961.86/437,514.10
  6. Step 6: Final answer
    x = 600,174.60

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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.