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Finding the Fourth Proportional to 238,407.36, 328,919.43 and 152,416.68

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Solution

The fourth proportional to 238,407.36, 328,919.43 and 152,416.68 is: 210,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,407.36 : 328,919.43 = 152,416.68 : x
  2. Step 2: Convert to fraction form
    238,407.36/328,919.43 = 152,416.68/x
  3. Step 3: Cross multiply
    238,407.36x = 328,919.43 × 152,416.68
  4. Step 4: Simplify right side
    238,407.36x = 50,132,807,771.29
  5. Step 5: Solve for x
    x = 50,132,807,771.29/238,407.36
  6. Step 6: Final answer
    x = 210,282.13

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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.