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Finding the Fourth Proportional to 406,842.66, 609,904.50 and 153,947.58

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Solution

The fourth proportional to 406,842.66, 609,904.50 and 153,947.58 is: 230,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,842.66 : 609,904.50 = 153,947.58 : x
  2. Step 2: Convert to fraction form
    406,842.66/609,904.50 = 153,947.58/x
  3. Step 3: Cross multiply
    406,842.66x = 609,904.50 × 153,947.58
  4. Step 4: Simplify right side
    406,842.66x = 93,893,321,806.11
  5. Step 5: Solve for x
    x = 93,893,321,806.11/406,842.66
  6. Step 6: Final answer
    x = 230,785.34

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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.