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Finding the Fourth Proportional to 335,201.80, 502,802.70 and 307,645.60

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Solution

The fourth proportional to 335,201.80, 502,802.70 and 307,645.60 is: 461,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,201.80 : 502,802.70 = 307,645.60 : x
  2. Step 2: Convert to fraction form
    335,201.80/502,802.70 = 307,645.60/x
  3. Step 3: Cross multiply
    335,201.80x = 502,802.70 × 307,645.60
  4. Step 4: Simplify right side
    335,201.80x = 154,685,038,323.12
  5. Step 5: Solve for x
    x = 154,685,038,323.12/335,201.80
  6. Step 6: Final answer
    x = 461,468.40

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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.