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Finding the Fourth Proportional to 490,097.80, 735,146.70 and 209,643.40

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Solution

The fourth proportional to 490,097.80, 735,146.70 and 209,643.40 is: 314,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,097.80 : 735,146.70 = 209,643.40 : x
  2. Step 2: Convert to fraction form
    490,097.80/735,146.70 = 209,643.40/x
  3. Step 3: Cross multiply
    490,097.80x = 735,146.70 × 209,643.40
  4. Step 4: Simplify right side
    490,097.80x = 154,118,653,686.78
  5. Step 5: Solve for x
    x = 154,118,653,686.78/490,097.80
  6. Step 6: Final answer
    x = 314,465.10

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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.