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Finding the Fourth Proportional to 357,718.40, 537,614.40 and 312,099.20

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Solution

The fourth proportional to 357,718.40, 537,614.40 and 312,099.20 is: 469,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,718.40 : 537,614.40 = 312,099.20 : x
  2. Step 2: Convert to fraction form
    357,718.40/537,614.40 = 312,099.20/x
  3. Step 3: Cross multiply
    357,718.40x = 537,614.40 × 312,099.20
  4. Step 4: Simplify right side
    357,718.40x = 167,789,024,148.48
  5. Step 5: Solve for x
    x = 167,789,024,148.48/357,718.40
  6. Step 6: Final answer
    x = 469,053.38

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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.