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Finding the Fourth Proportional to 296,009.60, 444,014.40 and 201,531.20

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Solution

The fourth proportional to 296,009.60, 444,014.40 and 201,531.20 is: 302,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,009.60 : 444,014.40 = 201,531.20 : x
  2. Step 2: Convert to fraction form
    296,009.60/444,014.40 = 201,531.20/x
  3. Step 3: Cross multiply
    296,009.60x = 444,014.40 × 201,531.20
  4. Step 4: Simplify right side
    296,009.60x = 89,482,754,849.28
  5. Step 5: Solve for x
    x = 89,482,754,849.28/296,009.60
  6. Step 6: Final answer
    x = 302,296.80

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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.