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Finding the Fourth Proportional to 312,193.47, 430,827.53 and 168,953.63

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Solution

The fourth proportional to 312,193.47, 430,827.53 and 168,953.63 is: 233,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,193.47 : 430,827.53 = 168,953.63 : x
  2. Step 2: Convert to fraction form
    312,193.47/430,827.53 = 168,953.63/x
  3. Step 3: Cross multiply
    312,193.47x = 430,827.53 × 168,953.63
  4. Step 4: Simplify right side
    312,193.47x = 72,789,875,097.43
  5. Step 5: Solve for x
    x = 72,789,875,097.43/312,193.47
  6. Step 6: Final answer
    x = 233,156.30

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1.5x scale

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.