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Finding the Fourth Proportional to 466,987.84, 700,580.32 and 151,420.16

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Solution

The fourth proportional to 466,987.84, 700,580.32 and 151,420.16 is: 227,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,987.84 : 700,580.32 = 151,420.16 : x
  2. Step 2: Convert to fraction form
    466,987.84/700,580.32 = 151,420.16/x
  3. Step 3: Cross multiply
    466,987.84x = 700,580.32 × 151,420.16
  4. Step 4: Simplify right side
    466,987.84x = 106,081,984,147.25
  5. Step 5: Solve for x
    x = 106,081,984,147.25/466,987.84
  6. Step 6: Final answer
    x = 227,162.20

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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.