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Finding the Fourth Proportional to 309,225.60, 463,773.60 and 151,567.20

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Solution

The fourth proportional to 309,225.60, 463,773.60 and 151,567.20 is: 227,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,225.60 : 463,773.60 = 151,567.20 : x
  2. Step 2: Convert to fraction form
    309,225.60/463,773.60 = 151,567.20/x
  3. Step 3: Cross multiply
    309,225.60x = 463,773.60 × 151,567.20
  4. Step 4: Simplify right side
    309,225.60x = 70,292,865,985.92
  5. Step 5: Solve for x
    x = 70,292,865,985.92/309,225.60
  6. Step 6: Final answer
    x = 227,319.04

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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.