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Finding the Fourth Proportional to 406,488.96, 560,853.44 and 234,459.52

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Solution

The fourth proportional to 406,488.96, 560,853.44 and 234,459.52 is: 323,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,488.96 : 560,853.44 = 234,459.52 : x
  2. Step 2: Convert to fraction form
    406,488.96/560,853.44 = 234,459.52/x
  3. Step 3: Cross multiply
    406,488.96x = 560,853.44 × 234,459.52
  4. Step 4: Simplify right side
    406,488.96x = 131,497,428,332.75
  5. Step 5: Solve for x
    x = 131,497,428,332.75/406,488.96
  6. Step 6: Final answer
    x = 323,495.69

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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.