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Finding the Fourth Proportional to 556,320, 827,323.44 and 538,605.84

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Solution

The fourth proportional to 556,320, 827,323.44 and 538,605.84 is: 800,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,320 : 827,323.44 = 538,605.84 : x
  2. Step 2: Convert to fraction form
    556,320/827,323.44 = 538,605.84/x
  3. Step 3: Cross multiply
    556,320x = 827,323.44 × 538,605.84
  4. Step 4: Simplify right side
    556,320x = 445,601,236,352.89
  5. Step 5: Solve for x
    x = 445,601,236,352.89/556,320
  6. Step 6: Final answer
    x = 800,980.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.