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Finding the Fourth Proportional to 407,109.60, 610,664.40 and 302,133.60

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Solution

The fourth proportional to 407,109.60, 610,664.40 and 302,133.60 is: 453,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,109.60 : 610,664.40 = 302,133.60 : x
  2. Step 2: Convert to fraction form
    407,109.60/610,664.40 = 302,133.60/x
  3. Step 3: Cross multiply
    407,109.60x = 610,664.40 × 302,133.60
  4. Step 4: Simplify right side
    407,109.60x = 184,502,233,563.84
  5. Step 5: Solve for x
    x = 184,502,233,563.84/407,109.60
  6. Step 6: Final answer
    x = 453,200.40

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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.