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Finding the Fourth Proportional to 460,459.02, 690,782.22 and 194,220.48

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Solution

The fourth proportional to 460,459.02, 690,782.22 and 194,220.48 is: 291,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,459.02 : 690,782.22 = 194,220.48 : x
  2. Step 2: Convert to fraction form
    460,459.02/690,782.22 = 194,220.48/x
  3. Step 3: Cross multiply
    460,459.02x = 690,782.22 × 194,220.48
  4. Step 4: Simplify right side
    460,459.02x = 134,164,054,343.87
  5. Step 5: Solve for x
    x = 134,164,054,343.87/460,459.02
  6. Step 6: Final answer
    x = 291,370.24

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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.