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Finding the Fourth Proportional to 364,510.13, 546,793.74 and 98,266.57

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Solution

The fourth proportional to 364,510.13, 546,793.74 and 98,266.57 is: 147,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,510.13 : 546,793.74 = 98,266.57 : x
  2. Step 2: Convert to fraction form
    364,510.13/546,793.74 = 98,266.57/x
  3. Step 3: Cross multiply
    364,510.13x = 546,793.74 × 98,266.57
  4. Step 4: Simplify right side
    364,510.13x = 53,731,543,960.29
  5. Step 5: Solve for x
    x = 53,731,543,960.29/364,510.13
  6. Step 6: Final answer
    x = 147,407.55

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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.