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Finding the Fourth Proportional to 338,602.64, 467,319.24 and 209,582.49

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Solution

The fourth proportional to 338,602.64, 467,319.24 and 209,582.49 is: 289,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,602.64 : 467,319.24 = 209,582.49 : x
  2. Step 2: Convert to fraction form
    338,602.64/467,319.24 = 209,582.49/x
  3. Step 3: Cross multiply
    338,602.64x = 467,319.24 × 209,582.49
  4. Step 4: Simplify right side
    338,602.64x = 97,941,931,696.55
  5. Step 5: Solve for x
    x = 97,941,931,696.55/338,602.64
  6. Step 6: Final answer
    x = 289,253.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.