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Finding the Fourth Proportional to 357,314.88, 535,271.76 and 207,239.88

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Solution

The fourth proportional to 357,314.88, 535,271.76 and 207,239.88 is: 310,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,314.88 : 535,271.76 = 207,239.88 : x
  2. Step 2: Convert to fraction form
    357,314.88/535,271.76 = 207,239.88/x
  3. Step 3: Cross multiply
    357,314.88x = 535,271.76 × 207,239.88
  4. Step 4: Simplify right side
    357,314.88x = 110,929,655,309.79
  5. Step 5: Solve for x
    x = 110,929,655,309.79/357,314.88
  6. Step 6: Final answer
    x = 310,453.50

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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.