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Finding the Fourth Proportional to 408,710.84, 564,099.02 and 270,646.42

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Solution

The fourth proportional to 408,710.84, 564,099.02 and 270,646.42 is: 373,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,710.84 : 564,099.02 = 270,646.42 : x
  2. Step 2: Convert to fraction form
    408,710.84/564,099.02 = 270,646.42/x
  3. Step 3: Cross multiply
    408,710.84x = 564,099.02 × 270,646.42
  4. Step 4: Simplify right side
    408,710.84x = 152,671,376,114.78
  5. Step 5: Solve for x
    x = 152,671,376,114.78/408,710.84
  6. Step 6: Final answer
    x = 373,543.74

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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.