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Finding the Fourth Proportional to 399,097.80, 598,646.70 and 309,868.20

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Solution

The fourth proportional to 399,097.80, 598,646.70 and 309,868.20 is: 464,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,097.80 : 598,646.70 = 309,868.20 : x
  2. Step 2: Convert to fraction form
    399,097.80/598,646.70 = 309,868.20/x
  3. Step 3: Cross multiply
    399,097.80x = 598,646.70 × 309,868.20
  4. Step 4: Simplify right side
    399,097.80x = 185,501,575,364.94
  5. Step 5: Solve for x
    x = 185,501,575,364.94/399,097.80
  6. Step 6: Final answer
    x = 464,802.30

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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.