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Finding the Fourth Proportional to 402,258.94, 603,466.20 and 152,921.50

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Solution

The fourth proportional to 402,258.94, 603,466.20 and 152,921.50 is: 229,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,258.94 : 603,466.20 = 152,921.50 : x
  2. Step 2: Convert to fraction form
    402,258.94/603,466.20 = 152,921.50/x
  3. Step 3: Cross multiply
    402,258.94x = 603,466.20 × 152,921.50
  4. Step 4: Simplify right side
    402,258.94x = 92,282,956,503.30
  5. Step 5: Solve for x
    x = 92,282,956,503.30/402,258.94
  6. Step 6: Final answer
    x = 229,411.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.