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Finding the Fourth Proportional to 359,053.40, 538,580.10 and 209,462.60

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Solution

The fourth proportional to 359,053.40, 538,580.10 and 209,462.60 is: 314,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,053.40 : 538,580.10 = 209,462.60 : x
  2. Step 2: Convert to fraction form
    359,053.40/538,580.10 = 209,462.60/x
  3. Step 3: Cross multiply
    359,053.40x = 538,580.10 × 209,462.60
  4. Step 4: Simplify right side
    359,053.40x = 112,812,388,054.26
  5. Step 5: Solve for x
    x = 112,812,388,054.26/359,053.40
  6. Step 6: Final answer
    x = 314,193.90

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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.