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Finding the Fourth Proportional to 472,401.60, 708,602.40 and 454,686.90

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Solution

The fourth proportional to 472,401.60, 708,602.40 and 454,686.90 is: 682,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,401.60 : 708,602.40 = 454,686.90 : x
  2. Step 2: Convert to fraction form
    472,401.60/708,602.40 = 454,686.90/x
  3. Step 3: Cross multiply
    472,401.60x = 708,602.40 × 454,686.90
  4. Step 4: Simplify right side
    472,401.60x = 322,192,228,588.56
  5. Step 5: Solve for x
    x = 322,192,228,588.56/472,401.60
  6. Step 6: Final answer
    x = 682,030.35

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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.