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Finding the Fourth Proportional to 261,709.40, 392,564.10 and 242,269.40

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Solution

The fourth proportional to 261,709.40, 392,564.10 and 242,269.40 is: 363,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,709.40 : 392,564.10 = 242,269.40 : x
  2. Step 2: Convert to fraction form
    261,709.40/392,564.10 = 242,269.40/x
  3. Step 3: Cross multiply
    261,709.40x = 392,564.10 × 242,269.40
  4. Step 4: Simplify right side
    261,709.40x = 95,106,268,968.54
  5. Step 5: Solve for x
    x = 95,106,268,968.54/261,709.40
  6. Step 6: Final answer
    x = 363,404.10

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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.