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Finding the Fourth Proportional to 409,580.16, 565,210.96 and 237,528.88

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Solution

The fourth proportional to 409,580.16, 565,210.96 and 237,528.88 is: 327,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,580.16 : 565,210.96 = 237,528.88 : x
  2. Step 2: Convert to fraction form
    409,580.16/565,210.96 = 237,528.88/x
  3. Step 3: Cross multiply
    409,580.16x = 565,210.96 × 237,528.88
  4. Step 4: Simplify right side
    409,580.16x = 134,253,926,292.53
  5. Step 5: Solve for x
    x = 134,253,926,292.53/409,580.16
  6. Step 6: Final answer
    x = 327,784.25

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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.