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Finding the Fourth Proportional to 652,520.96, 899,525.76 and 461,196.80

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Solution

The fourth proportional to 652,520.96, 899,525.76 and 461,196.80 is: 635,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,520.96 : 899,525.76 = 461,196.80 : x
  2. Step 2: Convert to fraction form
    652,520.96/899,525.76 = 461,196.80/x
  3. Step 3: Cross multiply
    652,520.96x = 899,525.76 × 461,196.80
  4. Step 4: Simplify right side
    652,520.96x = 414,858,402,029.57
  5. Step 5: Solve for x
    x = 414,858,402,029.57/652,520.96
  6. Step 6: Final answer
    x = 635,777.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.