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Finding the Fourth Proportional to 314,095.60, 470,970.60 and 136,572.40

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Solution

The fourth proportional to 314,095.60, 470,970.60 and 136,572.40 is: 204,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,095.60 : 470,970.60 = 136,572.40 : x
  2. Step 2: Convert to fraction form
    314,095.60/470,970.60 = 136,572.40/x
  3. Step 3: Cross multiply
    314,095.60x = 470,970.60 × 136,572.40
  4. Step 4: Simplify right side
    314,095.60x = 64,321,585,171.44
  5. Step 5: Solve for x
    x = 64,321,585,171.44/314,095.60
  6. Step 6: Final answer
    x = 204,783.46

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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.