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Finding the Fourth Proportional to 502,643.15, 693,652.16 and 273,200.95

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Solution

The fourth proportional to 502,643.15, 693,652.16 and 273,200.95 is: 377,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,643.15 : 693,652.16 = 273,200.95 : x
  2. Step 2: Convert to fraction form
    502,643.15/693,652.16 = 273,200.95/x
  3. Step 3: Cross multiply
    502,643.15x = 693,652.16 × 273,200.95
  4. Step 4: Simplify right side
    502,643.15x = 189,506,429,094.86
  5. Step 5: Solve for x
    x = 189,506,429,094.86/502,643.15
  6. Step 6: Final answer
    x = 377,019.82

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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.