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Finding the Fourth Proportional to 405,145.60, 559,097.66 and 223,856.80

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Solution

The fourth proportional to 405,145.60, 559,097.66 and 223,856.80 is: 308,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,145.60 : 559,097.66 = 223,856.80 : x
  2. Step 2: Convert to fraction form
    405,145.60/559,097.66 = 223,856.80/x
  3. Step 3: Cross multiply
    405,145.60x = 559,097.66 × 223,856.80
  4. Step 4: Simplify right side
    405,145.60x = 125,157,813,055.09
  5. Step 5: Solve for x
    x = 125,157,813,055.09/405,145.60
  6. Step 6: Final answer
    x = 308,920.58

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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.