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Finding the Fourth Proportional to 467,838.16, 645,623.30 and 286,483.92

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Solution

The fourth proportional to 467,838.16, 645,623.30 and 286,483.92 is: 395,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,838.16 : 645,623.30 = 286,483.92 : x
  2. Step 2: Convert to fraction form
    467,838.16/645,623.30 = 286,483.92/x
  3. Step 3: Cross multiply
    467,838.16x = 645,623.30 × 286,483.92
  4. Step 4: Simplify right side
    467,838.16x = 184,960,693,827.34
  5. Step 5: Solve for x
    x = 184,960,693,827.34/467,838.16
  6. Step 6: Final answer
    x = 395,351.88

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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.