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Finding the Fourth Proportional to 261,603.44, 360,969.68 and 164,792.24

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Solution

The fourth proportional to 261,603.44, 360,969.68 and 164,792.24 is: 227,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,603.44 : 360,969.68 = 164,792.24 : x
  2. Step 2: Convert to fraction form
    261,603.44/360,969.68 = 164,792.24/x
  3. Step 3: Cross multiply
    261,603.44x = 360,969.68 × 164,792.24
  4. Step 4: Simplify right side
    261,603.44x = 59,485,002,139.28
  5. Step 5: Solve for x
    x = 59,485,002,139.28/261,603.44
  6. Step 6: Final answer
    x = 227,386.16

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1.5x scale

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.