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Finding the Fourth Proportional to 406,798.38, 609,403.23 and 193,262.40

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Solution

The fourth proportional to 406,798.38, 609,403.23 and 193,262.40 is: 289,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,798.38 : 609,403.23 = 193,262.40 : x
  2. Step 2: Convert to fraction form
    406,798.38/609,403.23 = 193,262.40/x
  3. Step 3: Cross multiply
    406,798.38x = 609,403.23 × 193,262.40
  4. Step 4: Simplify right side
    406,798.38x = 117,774,730,797.55
  5. Step 5: Solve for x
    x = 117,774,730,797.55/406,798.38
  6. Step 6: Final answer
    x = 289,516.22

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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.