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Finding the Fourth Proportional to 407,665.31, 562,582.06 and 237,866.63

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Solution

The fourth proportional to 407,665.31, 562,582.06 and 237,866.63 is: 328,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,665.31 : 562,582.06 = 237,866.63 : x
  2. Step 2: Convert to fraction form
    407,665.31/562,582.06 = 237,866.63/x
  3. Step 3: Cross multiply
    407,665.31x = 562,582.06 × 237,866.63
  4. Step 4: Simplify right side
    407,665.31x = 133,819,495,303.08
  5. Step 5: Solve for x
    x = 133,819,495,303.08/407,665.31
  6. Step 6: Final answer
    x = 328,258.24

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