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Finding the Fourth Proportional to 450,047.80, 674,963.70 and 260,097.40

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Solution

The fourth proportional to 450,047.80, 674,963.70 and 260,097.40 is: 390,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,047.80 : 674,963.70 = 260,097.40 : x
  2. Step 2: Convert to fraction form
    450,047.80/674,963.70 = 260,097.40/x
  3. Step 3: Cross multiply
    450,047.80x = 674,963.70 × 260,097.40
  4. Step 4: Simplify right side
    450,047.80x = 175,556,303,464.38
  5. Step 5: Solve for x
    x = 175,556,303,464.38/450,047.80
  6. Step 6: Final answer
    x = 390,083.68

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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.