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Finding the Fourth Proportional to 364,041.80, 546,062.70 and 97,829.23

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Solution

The fourth proportional to 364,041.80, 546,062.70 and 97,829.23 is: 146,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.80 : 546,062.70 = 97,829.23 : x
  2. Step 2: Convert to fraction form
    364,041.80/546,062.70 = 97,829.23/x
  3. Step 3: Cross multiply
    364,041.80x = 546,062.70 × 97,829.23
  4. Step 4: Simplify right side
    364,041.80x = 53,420,893,472.72
  5. Step 5: Solve for x
    x = 53,420,893,472.72/364,041.80
  6. Step 6: Final answer
    x = 146,743.85

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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.