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Finding the Fourth Proportional to 462,090.35, 637,677.64 and 258,144.20

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Solution

The fourth proportional to 462,090.35, 637,677.64 and 258,144.20 is: 356,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,090.35 : 637,677.64 = 258,144.20 : x
  2. Step 2: Convert to fraction form
    462,090.35/637,677.64 = 258,144.20/x
  3. Step 3: Cross multiply
    462,090.35x = 637,677.64 × 258,144.20
  4. Step 4: Simplify right side
    462,090.35x = 164,612,784,235.69
  5. Step 5: Solve for x
    x = 164,612,784,235.69/462,090.35
  6. Step 6: Final answer
    x = 356,235.06

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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.