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Finding the Fourth Proportional to 409,340.40, 614,010.60 and 390,969.60

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Solution

The fourth proportional to 409,340.40, 614,010.60 and 390,969.60 is: 586,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,340.40 : 614,010.60 = 390,969.60 : x
  2. Step 2: Convert to fraction form
    409,340.40/614,010.60 = 390,969.60/x
  3. Step 3: Cross multiply
    409,340.40x = 614,010.60 × 390,969.60
  4. Step 4: Simplify right side
    409,340.40x = 240,059,478,677.76
  5. Step 5: Solve for x
    x = 240,059,478,677.76/409,340.40
  6. Step 6: Final answer
    x = 586,454.40

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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.