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Finding the Fourth Proportional to 413,570.80, 620,939.40 and 256,106.80

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Solution

The fourth proportional to 413,570.80, 620,939.40 and 256,106.80 is: 384,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,570.80 : 620,939.40 = 256,106.80 : x
  2. Step 2: Convert to fraction form
    413,570.80/620,939.40 = 256,106.80/x
  3. Step 3: Cross multiply
    413,570.80x = 620,939.40 × 256,106.80
  4. Step 4: Simplify right side
    413,570.80x = 159,026,802,727.92
  5. Step 5: Solve for x
    x = 159,026,802,727.92/413,570.80
  6. Step 6: Final answer
    x = 384,521.35

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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.