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Finding the Fourth Proportional to 364,266.30, 546,399.45 and 357,267.90

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Solution

The fourth proportional to 364,266.30, 546,399.45 and 357,267.90 is: 535,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,266.30 : 546,399.45 = 357,267.90 : x
  2. Step 2: Convert to fraction form
    364,266.30/546,399.45 = 357,267.90/x
  3. Step 3: Cross multiply
    364,266.30x = 546,399.45 × 357,267.90
  4. Step 4: Simplify right side
    364,266.30x = 195,210,984,062.66
  5. Step 5: Solve for x
    x = 195,210,984,062.66/364,266.30
  6. Step 6: Final answer
    x = 535,901.85

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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.