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Finding the Fourth Proportional to 499,078.92, 688,523.04 and 362,814.24

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Solution

The fourth proportional to 499,078.92, 688,523.04 and 362,814.24 is: 500,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,078.92 : 688,523.04 = 362,814.24 : x
  2. Step 2: Convert to fraction form
    499,078.92/688,523.04 = 362,814.24/x
  3. Step 3: Cross multiply
    499,078.92x = 688,523.04 × 362,814.24
  4. Step 4: Simplify right side
    499,078.92x = 249,805,963,480.09
  5. Step 5: Solve for x
    x = 249,805,963,480.09/499,078.92
  6. Step 6: Final answer
    x = 500,533.99

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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.