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Finding the Fourth Proportional to 590,509.40, 885,764.10 and 413,216.60

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Solution

The fourth proportional to 590,509.40, 885,764.10 and 413,216.60 is: 619,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,509.40 : 885,764.10 = 413,216.60 : x
  2. Step 2: Convert to fraction form
    590,509.40/885,764.10 = 413,216.60/x
  3. Step 3: Cross multiply
    590,509.40x = 885,764.10 × 413,216.60
  4. Step 4: Simplify right side
    590,509.40x = 366,012,429,804.06
  5. Step 5: Solve for x
    x = 366,012,429,804.06/590,509.40
  6. Step 6: Final answer
    x = 619,824.90

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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.