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Finding the Fourth Proportional to 309,935.70, 464,903.55 and 209,552.40

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Solution

The fourth proportional to 309,935.70, 464,903.55 and 209,552.40 is: 314,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,935.70 : 464,903.55 = 209,552.40 : x
  2. Step 2: Convert to fraction form
    309,935.70/464,903.55 = 209,552.40/x
  3. Step 3: Cross multiply
    309,935.70x = 464,903.55 × 209,552.40
  4. Step 4: Simplify right side
    309,935.70x = 97,421,654,671.02
  5. Step 5: Solve for x
    x = 97,421,654,671.02/309,935.70
  6. Step 6: Final answer
    x = 314,328.60

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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.