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Finding the Fourth Proportional to 209,775.60, 314,663.40 and 200,674.80

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Solution

The fourth proportional to 209,775.60, 314,663.40 and 200,674.80 is: 301,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,775.60 : 314,663.40 = 200,674.80 : x
  2. Step 2: Convert to fraction form
    209,775.60/314,663.40 = 200,674.80/x
  3. Step 3: Cross multiply
    209,775.60x = 314,663.40 × 200,674.80
  4. Step 4: Simplify right side
    209,775.60x = 63,145,014,862.32
  5. Step 5: Solve for x
    x = 63,145,014,862.32/209,775.60
  6. Step 6: Final answer
    x = 301,012.20

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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.