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Finding the Fourth Proportional to 261,019.40, 390,945.90 and 214,363.40

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Solution

The fourth proportional to 261,019.40, 390,945.90 and 214,363.40 is: 321,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,019.40 : 390,945.90 = 214,363.40 : x
  2. Step 2: Convert to fraction form
    261,019.40/390,945.90 = 214,363.40/x
  3. Step 3: Cross multiply
    261,019.40x = 390,945.90 × 214,363.40
  4. Step 4: Simplify right side
    261,019.40x = 83,804,492,340.06
  5. Step 5: Solve for x
    x = 83,804,492,340.06/261,019.40
  6. Step 6: Final answer
    x = 321,066.14

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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.