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Finding the Fourth Proportional to 288,386.48, 397,411.16 and 207,661.57

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Solution

The fourth proportional to 288,386.48, 397,411.16 and 207,661.57 is: 286,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,386.48 : 397,411.16 = 207,661.57 : x
  2. Step 2: Convert to fraction form
    288,386.48/397,411.16 = 207,661.57/x
  3. Step 3: Cross multiply
    288,386.48x = 397,411.16 × 207,661.57
  4. Step 4: Simplify right side
    288,386.48x = 82,527,026,792.82
  5. Step 5: Solve for x
    x = 82,527,026,792.82/288,386.48
  6. Step 6: Final answer
    x = 286,168.16

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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.