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Finding the Fourth Proportional to 335,097.80, 502,646.70 and 320,582.60

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Solution

The fourth proportional to 335,097.80, 502,646.70 and 320,582.60 is: 480,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,097.80 : 502,646.70 = 320,582.60 : x
  2. Step 2: Convert to fraction form
    335,097.80/502,646.70 = 320,582.60/x
  3. Step 3: Cross multiply
    335,097.80x = 502,646.70 × 320,582.60
  4. Step 4: Simplify right side
    335,097.80x = 161,139,785,967.42
  5. Step 5: Solve for x
    x = 161,139,785,967.42/335,097.80
  6. Step 6: Final answer
    x = 480,873.90

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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.