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Finding the Fourth Proportional to 359,014.48, 538,344.02 and 209,292.46

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Solution

The fourth proportional to 359,014.48, 538,344.02 and 209,292.46 is: 313,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,014.48 : 538,344.02 = 209,292.46 : x
  2. Step 2: Convert to fraction form
    359,014.48/538,344.02 = 209,292.46/x
  3. Step 3: Cross multiply
    359,014.48x = 538,344.02 × 209,292.46
  4. Step 4: Simplify right side
    359,014.48x = 112,671,343,449.46
  5. Step 5: Solve for x
    x = 112,671,343,449.46/359,014.48
  6. Step 6: Final answer
    x = 313,835.10

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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.