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Finding the Fourth Proportional to 467,145.60, 700,459.20 and 186,345.60

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Solution

The fourth proportional to 467,145.60, 700,459.20 and 186,345.60 is: 279,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,145.60 : 700,459.20 = 186,345.60 : x
  2. Step 2: Convert to fraction form
    467,145.60/700,459.20 = 186,345.60/x
  3. Step 3: Cross multiply
    467,145.60x = 700,459.20 × 186,345.60
  4. Step 4: Simplify right side
    467,145.60x = 130,527,489,899.52
  5. Step 5: Solve for x
    x = 130,527,489,899.52/467,145.60
  6. Step 6: Final answer
    x = 279,415.00

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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.