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Finding the Fourth Proportional to 657,496.90, 986,343.90 and 278,416.90

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Solution

The fourth proportional to 657,496.90, 986,343.90 and 278,416.90 is: 417,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,496.90 : 986,343.90 = 278,416.90 : x
  2. Step 2: Convert to fraction form
    657,496.90/986,343.90 = 278,416.90/x
  3. Step 3: Cross multiply
    657,496.90x = 986,343.90 × 278,416.90
  4. Step 4: Simplify right side
    657,496.90x = 274,614,810,971.91
  5. Step 5: Solve for x
    x = 274,614,810,971.91/657,496.90
  6. Step 6: Final answer
    x = 417,667.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.