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Finding the Fourth Proportional to 405,449.16, 608,476.66 and 152,978.64

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Solution

The fourth proportional to 405,449.16, 608,476.66 and 152,978.64 is: 229,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,449.16 : 608,476.66 = 152,978.64 : x
  2. Step 2: Convert to fraction form
    405,449.16/608,476.66 = 152,978.64/x
  3. Step 3: Cross multiply
    405,449.16x = 608,476.66 × 152,978.64
  4. Step 4: Simplify right side
    405,449.16x = 93,083,931,918.54
  5. Step 5: Solve for x
    x = 93,083,931,918.54/405,449.16
  6. Step 6: Final answer
    x = 229,582.25

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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.