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Finding the Fourth Proportional to 406,405.64, 609,437.28 and 153,643.52

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Solution

The fourth proportional to 406,405.64, 609,437.28 and 153,643.52 is: 230,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,405.64 : 609,437.28 = 153,643.52 : x
  2. Step 2: Convert to fraction form
    406,405.64/609,437.28 = 153,643.52/x
  3. Step 3: Cross multiply
    406,405.64x = 609,437.28 × 153,643.52
  4. Step 4: Simplify right side
    406,405.64x = 93,636,088,918.43
  5. Step 5: Solve for x
    x = 93,636,088,918.43/406,405.64
  6. Step 6: Final answer
    x = 230,400.56

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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.