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Finding the Fourth Proportional to 600,701.23, 900,719.70 and 456,658.59

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Solution

The fourth proportional to 600,701.23, 900,719.70 and 456,658.59 is: 684,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,701.23 : 900,719.70 = 456,658.59 : x
  2. Step 2: Convert to fraction form
    600,701.23/900,719.70 = 456,658.59/x
  3. Step 3: Cross multiply
    600,701.23x = 900,719.70 × 456,658.59
  4. Step 4: Simplify right side
    600,701.23x = 411,321,388,187.22
  5. Step 5: Solve for x
    x = 411,321,388,187.22/600,701.23
  6. Step 6: Final answer
    x = 684,735.39

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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.