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Finding the Fourth Proportional to 364,812.64, 546,097.30 and 311,004.07

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Solution

The fourth proportional to 364,812.64, 546,097.30 and 311,004.07 is: 465,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,812.64 : 546,097.30 = 311,004.07 : x
  2. Step 2: Convert to fraction form
    364,812.64/546,097.30 = 311,004.07/x
  3. Step 3: Cross multiply
    364,812.64x = 546,097.30 × 311,004.07
  4. Step 4: Simplify right side
    364,812.64x = 169,838,482,916.01
  5. Step 5: Solve for x
    x = 169,838,482,916.01/364,812.64
  6. Step 6: Final answer
    x = 465,549.89

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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.