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Finding the Fourth Proportional to 406,829.76, 610,244.67 and 157,511.76

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Solution

The fourth proportional to 406,829.76, 610,244.67 and 157,511.76 is: 236,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,829.76 : 610,244.67 = 157,511.76 : x
  2. Step 2: Convert to fraction form
    406,829.76/610,244.67 = 157,511.76/x
  3. Step 3: Cross multiply
    406,829.76x = 610,244.67 × 157,511.76
  4. Step 4: Simplify right side
    406,829.76x = 96,120,712,002.32
  5. Step 5: Solve for x
    x = 96,120,712,002.32/406,829.76
  6. Step 6: Final answer
    x = 236,267.65

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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.