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Finding the Fourth Proportional to 301,810.72, 416,523.60 and 194,603.92

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Solution

The fourth proportional to 301,810.72, 416,523.60 and 194,603.92 is: 268,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,810.72 : 416,523.60 = 194,603.92 : x
  2. Step 2: Convert to fraction form
    301,810.72/416,523.60 = 194,603.92/x
  3. Step 3: Cross multiply
    301,810.72x = 416,523.60 × 194,603.92
  4. Step 4: Simplify right side
    301,810.72x = 81,057,125,332.51
  5. Step 5: Solve for x
    x = 81,057,125,332.51/301,810.72
  6. Step 6: Final answer
    x = 268,569.40

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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.