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Finding the Fourth Proportional to 476,088.20, 657,022.24 and 285,065.08

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Solution

The fourth proportional to 476,088.20, 657,022.24 and 285,065.08 is: 393,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,088.20 : 657,022.24 = 285,065.08 : x
  2. Step 2: Convert to fraction form
    476,088.20/657,022.24 = 285,065.08/x
  3. Step 3: Cross multiply
    476,088.20x = 657,022.24 × 285,065.08
  4. Step 4: Simplify right side
    476,088.20x = 187,294,097,407.38
  5. Step 5: Solve for x
    x = 187,294,097,407.38/476,088.20
  6. Step 6: Final answer
    x = 393,402.10

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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.