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Finding the Fourth Proportional to 460,085.68, 634,902.64 and 258,842.80

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Solution

The fourth proportional to 460,085.68, 634,902.64 and 258,842.80 is: 357,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,085.68 : 634,902.64 = 258,842.80 : x
  2. Step 2: Convert to fraction form
    460,085.68/634,902.64 = 258,842.80/x
  3. Step 3: Cross multiply
    460,085.68x = 634,902.64 × 258,842.80
  4. Step 4: Simplify right side
    460,085.68x = 164,339,977,064.99
  5. Step 5: Solve for x
    x = 164,339,977,064.99/460,085.68
  6. Step 6: Final answer
    x = 357,194.29

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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.