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Finding the Fourth Proportional to 409,401.70, 614,102.55 and 290,428.90

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Solution

The fourth proportional to 409,401.70, 614,102.55 and 290,428.90 is: 435,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,401.70 : 614,102.55 = 290,428.90 : x
  2. Step 2: Convert to fraction form
    409,401.70/614,102.55 = 290,428.90/x
  3. Step 3: Cross multiply
    409,401.70x = 614,102.55 × 290,428.90
  4. Step 4: Simplify right side
    409,401.70x = 178,353,128,083.70
  5. Step 5: Solve for x
    x = 178,353,128,083.70/409,401.70
  6. Step 6: Final answer
    x = 435,643.35

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1.5x scale

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.