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Finding the Fourth Proportional to 495,842.80, 744,455.40 and 309,218.80

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Solution

The fourth proportional to 495,842.80, 744,455.40 and 309,218.80 is: 464,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,842.80 : 744,455.40 = 309,218.80 : x
  2. Step 2: Convert to fraction form
    495,842.80/744,455.40 = 309,218.80/x
  3. Step 3: Cross multiply
    495,842.80x = 744,455.40 × 309,218.80
  4. Step 4: Simplify right side
    495,842.80x = 230,199,605,441.52
  5. Step 5: Solve for x
    x = 230,199,605,441.52/495,842.80
  6. Step 6: Final answer
    x = 464,259.25

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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.