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Finding the Fourth Proportional to 407,827.60, 611,741.40 and 302,851.60

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Solution

The fourth proportional to 407,827.60, 611,741.40 and 302,851.60 is: 454,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,827.60 : 611,741.40 = 302,851.60 : x
  2. Step 2: Convert to fraction form
    407,827.60/611,741.40 = 302,851.60/x
  3. Step 3: Cross multiply
    407,827.60x = 611,741.40 × 302,851.60
  4. Step 4: Simplify right side
    407,827.60x = 185,266,861,776.24
  5. Step 5: Solve for x
    x = 185,266,861,776.24/407,827.60
  6. Step 6: Final answer
    x = 454,277.40

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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.