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Finding the Fourth Proportional to 499,077.92, 688,521.66 and 362,813.24

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Solution

The fourth proportional to 499,077.92, 688,521.66 and 362,813.24 is: 500,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,077.92 : 688,521.66 = 362,813.24 : x
  2. Step 2: Convert to fraction form
    499,077.92/688,521.66 = 362,813.24/x
  3. Step 3: Cross multiply
    499,077.92x = 688,521.66 × 362,813.24
  4. Step 4: Simplify right side
    499,077.92x = 249,804,774,274.78
  5. Step 5: Solve for x
    x = 249,804,774,274.78/499,077.92
  6. Step 6: Final answer
    x = 500,532.61

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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.