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Finding the Fourth Proportional to 358,953.40, 538,430.10 and 209,362.60

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Solution

The fourth proportional to 358,953.40, 538,430.10 and 209,362.60 is: 314,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,953.40 : 538,430.10 = 209,362.60 : x
  2. Step 2: Convert to fraction form
    358,953.40/538,430.10 = 209,362.60/x
  3. Step 3: Cross multiply
    358,953.40x = 538,430.10 × 209,362.60
  4. Step 4: Simplify right side
    358,953.40x = 112,727,125,654.26
  5. Step 5: Solve for x
    x = 112,727,125,654.26/358,953.40
  6. Step 6: Final answer
    x = 314,043.90

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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.