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Finding the Fourth Proportional to 264,304.47, 364,740.42 and 143,445.84

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Solution

The fourth proportional to 264,304.47, 364,740.42 and 143,445.84 is: 197,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,304.47 : 364,740.42 = 143,445.84 : x
  2. Step 2: Convert to fraction form
    264,304.47/364,740.42 = 143,445.84/x
  3. Step 3: Cross multiply
    264,304.47x = 364,740.42 × 143,445.84
  4. Step 4: Simplify right side
    264,304.47x = 52,320,495,099.00
  5. Step 5: Solve for x
    x = 52,320,495,099.00/264,304.47
  6. Step 6: Final answer
    x = 197,955.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.