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Finding the Fourth Proportional to 301,634.51, 416,260.62 and 165,681.02

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Solution

The fourth proportional to 301,634.51, 416,260.62 and 165,681.02 is: 228,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,634.51 : 416,260.62 = 165,681.02 : x
  2. Step 2: Convert to fraction form
    301,634.51/416,260.62 = 165,681.02/x
  3. Step 3: Cross multiply
    301,634.51x = 416,260.62 × 165,681.02
  4. Step 4: Simplify right side
    301,634.51x = 68,966,482,026.13
  5. Step 5: Solve for x
    x = 68,966,482,026.13/301,634.51
  6. Step 6: Final answer
    x = 228,642.55

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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.