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Finding the Fourth Proportional to 473,914.80, 709,489.80 and 460,090.80

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Solution

The fourth proportional to 473,914.80, 709,489.80 and 460,090.80 is: 688,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,914.80 : 709,489.80 = 460,090.80 : x
  2. Step 2: Convert to fraction form
    473,914.80/709,489.80 = 460,090.80/x
  3. Step 3: Cross multiply
    473,914.80x = 709,489.80 × 460,090.80
  4. Step 4: Simplify right side
    473,914.80x = 326,429,729,673.84
  5. Step 5: Solve for x
    x = 326,429,729,673.84/473,914.80
  6. Step 6: Final answer
    x = 688,794.12

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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.