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Finding the Fourth Proportional to 357,289.41, 535,233.45 and 207,214.43

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Solution

The fourth proportional to 357,289.41, 535,233.45 and 207,214.43 is: 310,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,289.41 : 535,233.45 = 207,214.43 : x
  2. Step 2: Convert to fraction form
    357,289.41/535,233.45 = 207,214.43/x
  3. Step 3: Cross multiply
    357,289.41x = 535,233.45 × 207,214.43
  4. Step 4: Simplify right side
    357,289.41x = 110,908,091,582.52
  5. Step 5: Solve for x
    x = 110,908,091,582.52/357,289.41
  6. Step 6: Final answer
    x = 310,415.28

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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.