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Finding the Fourth Proportional to 434,695.20, 651,783.60 and 224,743.20

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Solution

The fourth proportional to 434,695.20, 651,783.60 and 224,743.20 is: 336,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,695.20 : 651,783.60 = 224,743.20 : x
  2. Step 2: Convert to fraction form
    434,695.20/651,783.60 = 224,743.20/x
  3. Step 3: Cross multiply
    434,695.20x = 651,783.60 × 224,743.20
  4. Step 4: Simplify right side
    434,695.20x = 146,483,931,971.52
  5. Step 5: Solve for x
    x = 146,483,931,971.52/434,695.20
  6. Step 6: Final answer
    x = 336,980.79

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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.