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Finding the Fourth Proportional to 314,510.46, 471,543.30 and 101,212.38

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Solution

The fourth proportional to 314,510.46, 471,543.30 and 101,212.38 is: 151,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,510.46 : 471,543.30 = 101,212.38 : x
  2. Step 2: Convert to fraction form
    314,510.46/471,543.30 = 101,212.38/x
  3. Step 3: Cross multiply
    314,510.46x = 471,543.30 × 101,212.38
  4. Step 4: Simplify right side
    314,510.46x = 47,726,019,666.05
  5. Step 5: Solve for x
    x = 47,726,019,666.05/314,510.46
  6. Step 6: Final answer
    x = 151,747.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.